# How to proof tangential and normal components of a vector Thank you

10,511 results
1. ## physics

the magnitude of vector A is 35 units and points in the direction 325 degrees counterclockwise from the positive X-axis. calculate the X and y components of the vector

2. ## precalculus

Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. |v| = 24, θ = 30°

3. ## Physics

You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector C.

4. ## physics

The components of vector A are Ax and Ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Find the angle θ if the components of the displacement vector A are (a) Ax = 11 m and Ay = 11 m, (b) Ax = 19 m and Ay = 11 m,

5. ## PHY

The components of a vector V can be written (Vx, Vy, Vz). What are the components and length of a vector which is the sum of the two vectors, V1 and V2, whose components are (5.0, 1.3, -15.0) and (2.3, -4.7, -1.0)?

6. ## Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Here's the step by step from the

7. ## Physics

The components of vector A⃗ are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector A⃗ ?

8. ## Calculus

Find the velocity vector for a particle whose position vector is vector components 2t, 5 for all t. (10 points) A) vector components 2, 0 B) vector components t squared, 5 times t C) vector components t cubed over 3, 5 times t squared over 2 D) the square

9. ## College physics

The magnitude of vector is 40.0 units and points in the direction 315° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.

10. ## Math - Vectors

Resolve vector u =[3,4,7] into rectangular components, on which is collinear with vector v =[1,2,3].

11. ## Physics Help

Find the components of the vector A⃗ with length a = 1.00 and angle α=10.0∘ with respect to the x axis as shown. I can't display the figure obviously, but I figured 1 x cos(10) and 1 x sin(10) would give the two components I need, but I'm still

12. ## Math - Equations of plane(check)

Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. Ans: if i find the

13. ## physics

A space habitat for a long space voyage consists of two cabins each connected by a cable to a central hub as shown in the figure below. The cabins are set spinning around the hub axis, which is connected to the rest of the spacecraft to generate artificial

14. ## Mathematics

Find the horizontal and vertical components of the vector with the given length and direction, and write the vector in terms of the vectors i and j. |𝘃| = 20, 𝜃 = 30°

15. ## Calculus

A force of 200 N is resolved into two vector components of 150 N and 80 N. Are these rectangular vector components? Justify your response. If they are not, determine the directions of the components.

16. ## Calculus

What is the velocity vector for a moving particle with a position vector r of t equals the components 2 over t, the natural log of t ? (10 points) A) components 2, e to the t power B) components 0, t times the natural log of t C) components negative 2

17. ## Physics

You are given vectors A = 5.0i - 6.5j and B = -2.5i + 7.0j. A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 15.0. Find the x and y components to vector C. Answer key shows x component is

18. ## Vectors

Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises.

19. ## Science

Let vector A=i^A cos theta +j^A sin theta be any vector. Another vector vector B which is normal to A is

20. ## math

What is the length of the vector [5 cos è, 5 sinè]? If the vector [5,0] is rotated 36 degrees in the counter clockwise direction, what are the components of the resulting vector?

21. ## Physics

Vector A and vector B both lie in the same xy plane . Is it possible for them to have same magnitude but different components and same components but different magnitude ?

22. ## Calculus

Find the distance travelled from t = 0 to t = π of the point moving with position vector equation r equals vector components t cubed, 2 times the sine of t . (20 points) A) 8.239 B) 19.378 C) 25.693 D) 32.257

23. ## physics

vector A has a magnitude of 40m at Angle =225°. if we want to add to A a vector B so as to produce a resultant along the positive x-axis that has a magnitude of 20m, what must be the components of B?

24. ## Physics

In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -4.90 m, 4.04 m) due to (a) force 1 with components F1x = 2.67 N and F1y = F1z = 0, and (b) force 2 with components F2x = 0, F2y = 1.23 N, F2z = 5.41 N?

25. ## Physics

In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -2.24 m, 9.78 m) due to (a) force 1 with components F1x = 2.70 N and F1y = F1z = 0, and (b) force 2 with components F2x = 0, F2y = 2.92 N, F2z = 4.02 N?

26. ## physics

Which of the following statements is a true statement? A. A vector can have positive or negative magnitudes. B. A vector's magnitude cannot be more than the magnitude of one of its components. C. If the x-component of a vector is smaller than its

27. ## physics

Suppose a vector V⃗ makes an angle ϕ with respect to the y axis.What could be the x and y components of the vector V⃗ ? Express your answers in terms of the variables V and ϕ separated by a comma.

28. ## Physics

Let vector B = 8.8 m, 75 degrees counterclockwise from the vertical. a) Find the x- and y-components of vector B in the normal coordinate system (where x is a horizontal line and y is a vertical line...both intersect each other). b) Find the x- and

29. ## physics--vectors

the components of a vector V can be written (Vx,Vy,Vz). what are the components and length of a vector which is te sum of the 2 vectors, V1 and V2, whose components are (8,-3.7,0) and (3.9,-8.1,-4.4)?

30. ## Physics

4. Which of the following is an accurate statement about vectors? A. Rotating a vector about an axis passing through the tip of the vector does not change the vector(definitely not right) B. The magnitude of a vector can be zero even if one of its

31. ## math

What is the length of the vector [5 cos theta, 5 sin theta]? If the vector [5,0] is rotated 36 degrees in the counter clockwise direction, what are the components of the resulting vector?

32. ## physics

can someone please help me with this question? A vector has components x =4 , y =2. When the vector is multiplied by the scalar 9, how does its magnitude and direction change?

33. ## physics

A vector has the components Ax=−37m and Ay=44m. Part A What is the magnitude of this vector? Express your answer to two significant figures and include appropriate units. the answer for part A is help me with b pls 57 m Part B What angle does this vector

34. ## math

If A^TA is an invertible matrix, prove that the column vectors of A are linearly independent. You know that if statement X implies statement Y then that is equivalent to Not(Y) implies Not(X). You can start by taking the column vectors of to be linearly

35. ## Physics

The tail of a vector is fixed to the origin of an x, y axis system. Originally the vector points along the +x axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of the x and y components of the vector compare to the size of

36. ## Physics

Vector V1 is 6.6 units long and points along the negative x axis. V2 is 8.5 units long and points at +55 degrees to the positive x axis. A) What are the x and y components of each vector? B) Determine the sum of vector 1 and vector 2. (magnitude and angle)

37. ## Physics Help

Position vector r⃗ has magnitude of 19.4m and direction angle 235 degrees What are the x and y components? (x,y) Find the components of the vector −2r⃗ and the magnitude of the vector?

38. ## Discrete Math: Equations of Line in a Plane

I'm stuck on these questions. Can you please show me a step by step solution? 20) For each of the following, find a normal vector, a direction vector, and a point of each line. Note, normal vector means perpendicular to the direction vector. a) 3x - 6y =

39. ## physics

Give one value of global angle θ of a vector, for which the x and y-components of the vector will have the same magnitude.

40. ## Physics

Find the resultant of two Vectors of 3units and 4units acting at a point O at an angle of 45deg with each other using analytical method b distinguish between resolution of vector and components of a vector

41. ## Physics/Math

Given two vectors, a and b, such that a + b = a - b, find the magnitude of b. Consider the equation a + b = a - b to be n vector notation and both a and b have components. Subtract the a vector from both sides. You are left with b = -b That can only be

42. ## Calculus

Given the curve C in parametric form: C : x =2cos(t) , y=2sin(t), z =2t; 0≤tπ≤2π Find each of the following in terms of t : a) The velocity v(t) b) The speed ds/dt c)The acceleration a(t) d) The unit tangent vector T(t) e)The curvature k and the

43. ## Calculus

Find the tangential and normal components of the acceleration vector. r(t) = t i + t2 j + 4t k aT= aN=

44. ## geometry

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location

45. ## Physics

"a vector r has a magnitude of 18 units and makes a 30 degree angle with respect to the x axis. find the vector components of r using a protractor and some graph paper to verify your answer by drawing r and measuring the length of the lines representing

46. ## calculus

State whether or not the following statements are true. Justify your reasoning.? a. Vector a • (Vector b + Vector c) = Vector a • Vector b + Vector a • Vector c b. Vector a × (Vector b + Vector c) = Vector a × Vector b + Vector a × Vector c c.

47. ## physics

vector (V1) is 6.3 units long and points along the negative (X) axis. Vector(V2) is 9.0 units long and points at 55 degree to the positive (X)axis. 1- What are the (X) and (Y) components of (V1) vector ? 2-What are the (X) and (Y) components of(V2) vector

48. ## physics

Vector is 6.3 units long and points along the negative axis. Vector is 9.0 units long and points at 55 to the positive axis. 1- What are the and components of vector ? 2-What are the and components of vector ? 3-Determine the magnitude of the sum .

49. ## PHYSICS

The x and y components of a vector A are 4 and -5 respectively and Vector B are -2 and 1 respectively. If A-B+3C=0, find the Cartesian coordinates for vector C?

50. ## physics

The coordinates of an object moving in the xy plane vary with time according to the equations x = -6.85 sin ωt and y = 4.00 - 6.85 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds. a. Determine the components of the velocity of

51. ## Physics

The magnitude of vector is 18.0 units and points in the direction 345° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.

52. ## Physics

Find the magnitude of the x and y components of the following vector: ----------------- \ 35 degrees \ 52 N \ \ I also have to find out which of the components is negative in direction.

53. ## Mulitvariable Calculus

How to proof tangential and normal components of a vector Thank you

54. ## Calculus

Find the tangential and normal components of the acceleration vector. (r)= (t^2 +1)I +t^3 j, t>=0? I need to know what are the formulas to solve for them if I got stuck, I will ask later.

55. ## Physics

partscoretotalsubmissions1--10/12--10/13--10/14--10/1----4--The tail of a vector is fixed to the origin of an x, y axis system. Originally the vector points along the +x axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of

56. ## Calculus

Find the tangential and normal components of the acceleration vector. (r)= 2t^2i + (2/3t^3 -2t)j These are what I did.There are just too many steps so I just show the important one r'(t)=4ti+(2t^2 -2)j r''(t)=4i+4j llr'(t)ll=√(4t)^2 +(2t^2 -2)^2 =2(t^2

57. ## calculus

Find the tangential and normal components of acceleration of an object that moves along the parabolic path y=4x^2 at the instant the speed ds/dt=5. I know how to find the both these given a vector but no idea when given just a path and speed. i figured i

58. ## physics

Position vector r has magnitude of 14.8m and direction angle 240 degrees. 1. Find it's components, enter x and y components of the vector 2. Find the components of the vector -2r, enter x and y components of the vector 3. Find the magnitude of the vector

59. ## Physics

A 3.0g bead has been threaded onto a vertical, frictionless, circular hoop with a 20cm radius. The bead is released from rest at 25º below the vertical. (a) Find the speed of the bead when it is 70° below the vertical. (b) Using the free-body diagram

60. ## Physics

The velocity vefot of a ball is v(t)=-3x+4y at any time. Its initial position is r=12x-4y. The components of the velocity vector are in m/s and the components of the position vector are in meters. The symbols x and y are the unit vetors in x and y

61. ## physics [vectors]

The concept i get, but somehow i just can't execute this problem, please help me! You are given vectors A = 5.5 6.2 and B = - 3.7 7.4 . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0.

62. ## chemistry

The tail of A vector is fixed to the origen of an X, Y axis system.Originally the vector points along the X axis. As time passes, the vector rotates counterclockwise. Describe how the sizes of the X and Y components of the vector compare to the size of the

63. ## physics

The components of a vector V are often written (Vx, Vy, Vz). What is the x component of a vector which is the sum of the two vectors, V1 and V2, whose components are (3.27, 1.86, 0.00) and (3.85, -3.53, -1.43)?

64. ## Physics

Vector V1 is 6N along the negative axis. Vector V2 is 4.5 N and point 45 degrees north of the x axis. Find the x and y components of each vector and find the resultant R=V1+V2with the components.

65. ## Math: Equations of Line in a Plane

I'm stuck on these questions. Can you please show me a step by step solution? 20) For each of the following, find a normal vector, a direction vector, and a point of each line. Note, normal vector means perpendicular to the direction vector. a) 3x - 6y =

66. ## Physics

For the three vectors A+B+C= -1.4i. Vector A is 4i and vector C is -2j. Write vector B as components separated by a comma. What is the magnitude of vector B? How many degrees above the negative x-axis does vector B point? Measure the angle clockwise from

67. ## physics

Vector has a magnitude of 122 units and points 37.0 ° north of west. Vector points 64.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

68. ## Physics

Which of the following is an accurate statement? a) a vector cannot have zero magnitude if one of its components is not zero b) the magnitude of a vector can be less than the magnitude of one of its componenets c) if the magnitude of vector A is less than

69. ## physics

A vector has components Ax = 44 m and Ay = 30 m. Find the length of the vector vector A and the angle it makes with the x axis. in meters and in degrees

70. ## physics

Vector is 6.3 units long and points along the negative axis. Vector is 9.0 units long and points at 55 to the positive axis. 1- What are the and components of vector ? 2-What are the and components of vector ? 3-Determine the magnitude of the sum .

71. ## physics

Vector has a magnitude of 113 units and points 34.0 ° north of west. Vector points 63.0 ° east of north. Vector points 17.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

72. ## physics

Vector has a magnitude of 136 units and points 35.0 ° north of west. Vector points 69.0 ° east of north. Vector points 19.0 ° west of south. These three vectors add to give a resultant vector that is zero. Using components, find the magnitudes of (a)

73. ## physics

Vector (V1) is 6.3 units long and points along the negative (X) axis. Vector(V2) is 9.0 units long and points at 55 degree to the positive (X)axis. 1- What are the (X) and (Y) components of (V1) vector ? 2-What are the (X) and (Y) components of(V2) vector

74. ## physics

The coordinates of an object moving in the xy plane vary with time according to the equations x = −6.85 sin ùt and y = 4.00 − 6.85 cos ùt, where ù is a constant, x and y are in meters, and t is in seconds. (a) Determine the components of velocity of

75. ## Physics

a vector with a magnitude of 17.6 m is directed at angle θ = 43o counterclockwise from the +x axis. What are the components (a) ax and (b) ay of the vector? A second coordinate system is inclined by angle θ' = 20o with respect to the first. What are the

76. ## Physics

A vector with a magnitude of 17.6 m is directed at angle θ = 43o counterclockwise from the +x axis. What are the components (a) ax and (b) ay of the vector? A second coordinate system is inclined by angle θ' = 20o with respect to the first. What are the

77. ## Physocs- Components of Resultant Vectors

The force vector A has components Ax= 5N, Ay= -3N. The force vector B has components Bx= 5N, By= 4N. What are the component of the resultant force vector C=A+B?

78. ## physics

Position vector r⃗ has magnitude of 15.0 m and direction angle 250 ∘. Find its components. Find the components, magnitude, and direction of the vector −2r⃗ . Where do I start?

79. ## trig

estimate the components of the vector. Round to one decimal place. [v] = 33.9, θ = 65.9° Find the horizontal and vertical components of v, and write in component form.

80. ## physics

A vector has a magnitude of 18.2 cm and makes an angle of 129.0° with the positive x-axis. What are the x- and y-components of this vector

81. ## physics

A vector has a magnitude of 17.6 cm and makes an angle of 150.0° with the positive x-axis. What are the x- and y-components of this vector?

82. ## Physics

vector A has a magnitude of 45.0 cm and makes an angle of 125 degrees with positive a –axis. What are the x- and y- components of this vector?

83. ## algebra

how can i proove that every vector norm on C subscript n is continuos in the vector components the set of complex numbers

84. ## cartesian vectors 2

let vector U = (vector u1, vector u2) vector V = (vector v1, vector v2) and vector W = (vector w1, vector w2) Prove each property using Cartesian vectors: a) (vector U+V)+W = vector U+(v+W) b) k(vector U+V) = k vector U + k vector V c) (k+m)vector U = k

85. ## physics

A vector is 100 units long and makes an angle of 50 degrees with the positive x-axis. find the x and y components of this vector.

86. ## Engineering

Based on the force vector that is hown, I have to determine the x and y vector components. |\ fy=?| \ f= 200 lb | \ |___\ fx=? How do I do this with only one side given and the given 90 degree angle

87. ## physics

A vector A has components Ax = -7.0 m and Ay = -48.0 m. What is the the angle that vector A makes with the x-axis?

88. ## MATH

Using the Law of Cosines for vectors, give a vector proof that if quadrilateral ABCD is a rhombus, diagonal AC bisects

89. ## Calculus - Dot Product

consider a rhombus ABCD a) find the resultant of vector AB + vector AD and vector AB - vector AD? (cosine rule) b) What will be the value of the dot product of vector AB + vector AD and vector AB - vector AD always be? (always zero) c) Is this value of the

90. ## Physics

Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

91. ## Physics

Let vector A = 4i^ + 4j^, vector B = -2i^ - 5j^, and vector F = vector A - 5(vector B). a) Write vector F in component form. vector F = ? b) What is the magnitude of vector F? F = ? c) What is the direction of vector F? theta = ? Thank you!

92. ## Physics

A golfer, putting on a green requires three strokes to “hole the ball.” During the first putt, the ball roles 5.0m due east. For the second putt, the ball travels 2.1m at an angle of 20 degrees north of east. The third putt is 0.50m due north. What

93. ## Physics

A golfer, putting on a green requires three strokes to “hole the ball.” During the first putt, the ball roles 5.0m due east. For the second putt, the ball travels 2.1m at an angle of 20 degrees north of east. The third putt is 0.50m due north. What

94. ## Physics

In a game of American football, a quarterback takes the ball from the line of scrimmage and runs backwards for 10 yards, and then sideways to the left, parallel to the line of scrimmage for 15 yards. At this point, he throws a forward pass at the angle of

95. ## mathematics

Let A = (−6, −4), B = (3, 2), and C = (6, 4). (a)These points lie on a line through the origin. Find its slope. (b)Let u be the vector whose components are the x-coordinates of A, B, and C, and let v be the vector whose components are the y-coordinates

96. ## Precalc

Given the plane 3x+2y+5z=54 and the points P0(6, 8, 4)[on plane] and P1(13, 18, 5) [not on plane] A. Find vector n, a vector normal to the plane B. Find vector v from P0 to P1 C. Find the angle between vector n and vector v D. Find p, the scalar projection

97. ## Trigg

A force vector has a magnitude of 475 newtons and points at an angle of 26.0 degrees below the negative x axis. What are the x scalar components and y scalar components?

98. ## Physics I

I have this vector that is confusing me I know what I need to do but the components of these vectors are confusing me. Problem: You are standing at point with coor dinates (1m, -1m, -2m) another erson is at r(t)=(8m)i - (3m/s^3) t^3 j + (4m/s^2) t^2 k Find

99. ## Math - Equations of plane(check)

Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the plane. Ans: if i find the

100. ## Physics

Displacement vector [3, 0 , -2] and [-1,5,2]displacement vector , both measured in meters. Find the components of the cross product of these vectors.