# Maths - Vectors

12,069 results

### Maths-Vectors Help!

Please can you help me as I have just been introduced to your Help Forum: Determine whether the vectors u, v and w given below are linearly independent or dependent where u, v and w are non-colliner vectors such that u=2a-3b+c , v=3a-5b+2c and w=4a-5b+c. thanks. Use exactly ...

### math

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the dot product of vectors p and q?

### Maths

a and b are perpendicular vectors.a=(2i+3j) and b=ti+dj(d>0 and i and j are unit vectors) and |b|=1 Find t and d? I know we have to use the cross product here. a.b=|a||b|*cos(π/2) (2i+3j)(ti+dj)= √13*1*0 2t+3j=√13*0 How do we find t and d?

### math

given that vectors(p+2q) and (5p-4q) are orthogonal,if vectors p and q are the unit vectors,find the product of vectors p and q?

### Advanced Maths (Vectors) AQA Level

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and G

### Advanced Maths (Vectors) AQA Level

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and F

### physics

Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m. Determine the (1) magnitude and (2) ...

### maths

Given that vector c and vector d are non zero vectors such that vector c =x1i + y1j + z1k and vector d =(y1z2-y2z1)+(x1y2 -x2y1)show that the two vectors are perpendicular.

### Physics

Please help me with this its very hard to visualize the problem. The analytical method of adding vectors expressed in terms of their components may be applied to vectors in three dimensions, for which graphical work is inconvenient. Find the magnitude of the resultant of the ...

### Physics

2 vectors have same magnitude.The magnitude of the resultant vector of these 2 vectors are same as either of both vectors.What is the angle between 2 vectors?

### Math - Algebraic Vectors

Given the vectors: u = [3, 0] v = [-1, 2] a) Express the vector w = [2, 8] as a linear combination of vectors u and v. How do I do this?

### math

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular

### math

two vectors are defined as a=2i+xj and b=i-4j. find value of x if a) the vectors are parallel b) the vectors are perpendicular

### PreCalculus

Given vectors u=7i + 3j and v = -4i + 3j, find 5u-4v in terms of unit vectors. I am just beginning the study of vectors and have this problem. Could someone help? Thanks.

### math

if vectors a+b+c=0 and modulus of the vectors a, b and c are 3 ,5 and 7 respectively. find the angle between the vectors a and b.

### Calculus

Name two sets of vectors that could be used to span a set in R^3. Show how the vectors (-1,2,0) and (3,4,0) could each be written as a linear combination of the vectors you have chosen.

### Science

2 vectors have same magnitude.The magnitude of the resultant vectors is same as either of both vectors.What is the angle between 2 vectors?

### Calculus and Vectors

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a dot b

### Math

Let a, b, and c be unit vectors, such that a+b+c=0. Show that the angle between any two of these vectors is 120 degrees. I proved this geometrically, but now my teacher wants a proof using vectors, and I don't know what to do.

### maths

1) Suppose that an insect crawls in a plane in a path given in polar coordinates by r = be^kt; theta = kt; where b; k are positive constants and t is time.Find the velocity and acceleration vectors of the insect. Show that the angle between the velocity and acceleration ...

### Calulas and VECTORS

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

### Calculus and vectors

Please, help I don't understand vectors T.T 1. In the prism, assume all dimensions have different lengths, state the following: a) state 3 equal vectors to DC⃗ b) state 4 opposite vectors to BC⃗ ------------------------------------- Here is the prism below, imgur ...

### vectors

Determine whether each statement is true or false. Provide a brief justification. a. Two lines with parallel direction vectors willnot intersect. b. Two linesthat are perpendicularin R3 willhave perpendicular direction vectors. c. Two linesthat havenon-paralleldirection ...

### Physics Vectors

two vectors A and B have magnitude such that A>B. We do not know the directions of the vectors. however we can say that the magnitude of the sum A+B must be between? a) B and 2A b)A and A+B c) A-B and A+B d) A-B and A e) B and A+B

### maths

Let a, b, c and d be vectors. (i) Show that (a - b) * (a + b) = a^2 - b^2

### physical science

The resultant vector of two particular displacement vectors dose not equal the sum of the magnitudes of the individual vectors. Describe the directions of the two vectors.

### Calculus and vectors

A parallelogram is formed by R^3 by the vectors PA=(3,2,-3) and PB=(4,1,5). The point P=(0,2,3). a) what are the location of the vertices? b) what are the vectors representing the diagonals? c) what are the length of the diagonals?

### Maths - Vectors

The position vectors a,b,c of the points A,B,C relative to the origin O are ai, bj and ck respectively.Find: 1) a vector equation for the line l throught O which is normal to the plane ABC. 2) a vector equation of the plane ABC The answers should be: 1) r=t(bc i +ac j +ab k) ...

### 12th grade

prove that normal to plane containing 3 points whose position vectors are a vector,b vector,c vectorlies in direction addition of cross product of vectors b and c and cross product of vectors c and a and cross product of vectors a and b

### Vectors

THE VECTORS a - 5b AND a-b ARE PERPENDICULAR. IF a AND b ARE UNIT VECTORS, THEN DETERMINE a * b

### vectors

ok theres a graph. its like this. basically theres a ray coming from the origin going up and left diagonally at about a 30 degree angle. the question says "for the following vectors draw the component vectors along the x and y axis". what do i do?!

### physics-vectors

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then: If the magnitude of the sum of two vectors is less than the magnitude of either vector, then: a. the scaler product of the vectors must be negative b. the scaler product of the ...

### maths

1.IF Vector OA =2i + 3j – k, vectorOB = i – 2j + 3k determine the value of vectorS ,OA X OB

### Science

Two equal vectors are working at a point.The resultant is equal to one of those vectors.Prove that the resultant bisects the angle between the vectors.

### maths-need help

if given that |a|=|b|=|a-b| find the angle between the vectors

### maths

prove that if a is not equal to zero and if a * b = a * c and a ^ b = a ^ c then b = c [Hint: calculate a * (b-c) and a ^ (b-c) vectors mechanics

### Maths-Vectors Assistance PLZZ!

Prove that the vectors u=3i+j-2k , v= -i+3j=4k, and w=4i-2j-6k can form the sides of a triangle They will form a triangle if they are linearly dependent, that is, if (3,1,-2)= m(-1,3,4) + n(4,-2,-6) from which we get 3 equations in two unknowns. -m + 4n = 3 #1 3m - 2n = 1 #2 ...

### vectors

If two vectors u and v fit the equation (u − v) • (u − v) = u•u+v•v, how must these vectors u and v be related? What familiar theorem does this equation represent?

### Math - vectors

For what value of t are these two vectors parallel? a) r = 4i + tj and s = 14i - 12j What I Know: vectors are parallel if one is a scalar multiple of the other. I need to find a way that r and s relate by finding what number you can multiply r by to equal s. What I Don't Know...

### linear algebra

which of the following sets of vectors span R^3? a.){(1, -1, 2), (0, 1, 1)} b.) {1, 2, -1), (6, ,3, 0), (4, -1, 2), (2, -5, 4)} c.) {(2, 2, 3), (-1, -2, 1), (0, 1, 0)} d.) {(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1)} can someone show the steps to check for one of them and i ...

### further maths

given that p=i+j-2k and q=2i-j+2k.find two vectors m and n satisfying that m is perpendicular to p,n is parallel to p and m+n=q

### physics

Given the vectors = (19 cm, -7 cm) in green and = (-23 cm, 9 cm) in blue shown on the grid below, calculate the magnitude of the vectors described below and select the correct sketch for each from the choices below. The tail-to-head method is used to represent the operations ...

### Maths

There are 3 vectors: p= 7i + 10j q= 3i + 12j r= -i +4j Could you show me how to find the angle PQR. using the scalar product.

### Math vectors

For which of the following conditions will the cross product of two vectors be zero? a) If the angle between them is 90°. b) If the angle between them is 0°. c) If the angle between them is 45°. d) If the vectors have the same magnitude.

### college Algebra/Linear Algebra

Find a Basis for each of these substances of R^4 (a) All vectors whose components are equal (b) All vectors whose component add to zero (c) All vectors that are perpendicular to (1,1,0,0) and (1,0,11) (d) The column space (In R^2) and nullspace(In R^5) of U=[1 0 1 0 1] [0 1 0 ...

### perpendicular vectors

Find two unit vectors each of which is perpendicular to vectors (1, 1, 0) and (1,0,1) What I did: a x b = (1, -1, -1) |axb|=square toot 3 correct answer is +/- (1/√3 - 1/√3 - 1/√3) or =+/- 1/√3 (1, -1, -1)

### maths

Two vectors P and Q of magnitudes 5 and 3 units respectively are inclined at an angle of 30 to each other.calculate the component of the resultant in the direction of Q.

### math

Two vectors have magnitudes of 3 units and 8 units respectively. The resultant of these two vectors has a magnitude of 8 units. What is the angle between these two vectors?

### Grade 12 Math

if a and b are unit vectors, and magnitude of vectors a +b = sq. root of 3, determine (2a-5b) dot (b+3a).

### physics

The vectors sum of two vectors of magnitude 10units and 15units can never be

### Math

if vectors a+2b and 5a-4b are perpendicular to each other and a and b are unit vectors. Find the angle between a and b.

### Math

Prove that vectors u, v and w are coplanar if and only if vectors u, v and w are linearly dependent.

### Vectors

If vector a and b are unit vectors, and |a+b|= root3, determine (2a-5b) dot product(b+3a)

### Calculus/Vectors

Calculate the area of the parallelogram with sides consisting of the vectors: a = (1,2,-2) b = (-1,3,0)

### Vectors/Calc

Calculate the area of the parallelogram with sides consisting of the vectors: a = (1,2,-2) b = (-1,3,0)

### Calculus and vectors

Do the vectors (2,0,1),(-2,0,0) and (2,3,0) lie on the same plane? Explain your reasoning.

### Maths

Iam stuck with this question including negative sign. Please I need help. Determine the magnitude and direction of this vectors (a) -8i + 6j (b) -5i - 12j

### Maths

Iam stuck with this question including negative sign. Please I need help. Determine the magnitude and direction of this vectors (a) -8i + 6j (b) -5i - 12j

### Physics

Find the vector cross product of two vectors C=2i-j and D=i+2j-3k. What is the angle between the vectors

### URGENT - Vectors

At what angle should be adjusted the two vectors to have the same value of their //A+B// and //A-B//?

### Vectors

Vectors a and b have magnitudes 2 and 3, respectively. If one of them is 50degrees, find the vector 5a-2b and state its magnitude.

### Vectors

Given vectors A = -4.8i + 6.8j and B = 9.6i + 6.7j, determine the vector C that lies in the xy plane perpendicular to B and whose dot product with A is 20.0.

### Physics

Find the scalar product of the vectors ai+bj and bi-aj . Where a and b are arbitrary constants. What's the angle between the two vectors?

### Math vectors

What can be said about two vectors whose cross product is the zero vector?

### Vectors

Determine two unit vectors that are perpendicular to both a=[-5,6,2] and d=[3,3,-8].

### Vectors

Vectors "v" and "w" are given by v = 5i - 2j and w = i + 3j. Find scalars r and s such that r ( v - w) = ( r + s )i - 20j.

### physics

Find the vectors.sum of ihe three vectors A=-3i-2j+7k, B=i+3j+k, C=-k

### Physics

If the vectors A and B are such that |A+B|=|A-B, then find the angle between vectors A and B?

### Vectors/Calc

Note: u,v,w,a,b are all vectors Given that u= xa + 2yb v= -2ya + 3yb w= 4a - 2b where a and b are collinear, find the values of x and y for which 2u - v =w

### Physics

Given the displacement vectors A = (7.00 - 1.00 + 3.00 ) m and B = (6.00 + 5.00 - 3.00 ) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. (a) C = A - B (b) D = 3A + B

### physics only solve now

the greatest and least resultant of vectors are 21 N and 7 N respectively.find the two vectors

### Calculus

Sketch the vector field F⃗ (r⃗ )=2r⃗ in the plane, where r⃗ =⟨x,y⟩. Select all that apply. A.All the vectors point away from the origin. B. The vectors increase in length as you move away from the origin. C. All the vectors point toward ...

### linear algebra

Which of the given subsets of R3 are subspaces? (a) The set of all vectors of the form [a;b;0] b)The set of all vectors of the form [a;b;c] where a > 0. c) The set of all vectors of the form [a;c;c] d) The set of all vectors of the form [a;b;c] where 2a − b + c = 5. ...

### Physics

The sum & difference of two non-zero vectors Ä & B are equal in magnitude.what can you conclude about these vectors?why?

### vectors( need answer asap)

The centroid of the triangle OAB is denoted by G. If O is the origin and OA=4i + 3j ,OB=6i-j. Find OG in terms of the unit vectors, I and j.

### vectors

how do you determine if two vectors are a) Collinear b) orthogonal?

### vectors problem!!!! help!!!!

Vectors u=2i+9j+0k and v=13i+18j+0k. What is the value of |u×v|?

### Calculus and vectors

|C|=5 and |D|=8. The angle formed by vectors C and D is 35 degrees, and the angle formed by vectors A and C is 40 degrees. Determine |B|. Could someone explain this question

### Math

Given two non-collinear vectors a and b, show that a, axb, and (axb)xa are mutually perpendicular. Also Express the unit vectors i, j, and k as ordered triplets and show that i x j = k what are ordered triplets? Using components show that u x v = -v x u for any vectors u and v.

### Physics Help!!!!

Describe what it means (describe the motion) if the acceleration vector has the same direction as the velocity vectors, and what it means if the acceleration vector has the opposite direction as the velocity vectors. Consider all four possibilities and explain what would ...

### Physics Help!!!!

Describe what it means (describe the motion) if the acceleration vector has the same direction as the velocity vectors, and what it means if the acceleration vector has the opposite direction as the velocity vectors. Consider all four possibilities and explain what would ...

### Physics

Consider two vectors one of magnitude 3 and the other 4 unit, which of the following is not correct? We can combine these vectors to yield a resultant of. A.7 B.5 C.1 D.0

### maths

find the area of the parallelogram that has the vectors as adjacent sides u = -2i + j + 5k v = 4i - 3j - 3k a. 11 b. squareroot 26 c. 86 d. 2 squareroot 86 e. 1

### Calculus

Two force vectors act on an object and the dot product of the two vectors is 20. If both of the force vectors are doubled in magnitude, what is their new dot product?

### maths

Resultant of 2 vectors P & Q is inclined at 45 to either of them. What is the magnitude of resultant vector?

### vectors

The position vectors, r km, and the velocity vectors, v km/h, of two boats at a certain time are given by ... Boat A:at 10:00 am rA=6i+10j vA=8i–2j Boat B:at 10:30 am rB=8i+5j vB=4i+j ... determine the time at which boat B should head out so that the two boats do collide.

### Mamthematics - Vectors

a) If vector u and vector v are non-collinear vectors show that vector u, vector u cross product vector v and (vector u cross product vector v) cross product vector u are mutually othogonal. b) Verify this property using vectors collinear with the unit vector, i, j and k c) ...

### Physica

The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

### Physica

The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

### Physica

The sum of two vectors A and B is maximum when both vectors are : A)parallel B) opposite in direction C) perpendicular to each other D) A inclined 45 with B E) none of the above

### Mechanics AS (Vectors)

When Studying Vectors, How Would I Go About Answering This Question? In Each of the following Cases, find the magnitude and direction of the resultant vectors of the two given vectors: a) a displacement of magnitude 26km on a bearing of 175 degrees and a displacement of ...

### Calculus and vectors

Please help/verify the answer. 1. When you add vectors geometrically: a) vectors are aligned tail to tail b) vectors are aligned head to head c) vectors are aligned head to tail d) vectors are put side by side Is the answer D? -------------------------------------- 2. Adding a...

### Discrete Math - Geometric Vectors

Under what conditions will 3 vectors having magnitudes of 7, 24 and 25, respectively, have the zero vector as a resultant? I don't get this question at all.

### calulas and VECTORS

Calculate to the nearest degree, the angle between the given vectors. [x]=8 [y]=3, x * y = 12square root 3 the answer is 30 degrees ont he back of my textbook

### physics

The magnitudes of the four displacement vectors shown in the drawing are A = 15.0 m, B = 11.0 m, C = 12.0 m, and D = 21.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.

### physis

The magnitudes of the four displacement vectors shown in the drawing are A = 13.0 m, B = 11.0 m, C = 12.0 m, and D = 27.0 m. Determine the magnitude and directional angle for the resultant that occurs when these vectors are added together.

### physics

Consider two vectors ~ A and ~ B and their re- sultant ~ A + ~ B . The magnitudes of the vectors ~ A and ~ B are, respectively, 13 . 2 and 6 . 1 and they act at 110 ◦ to each other.Find the magnitude of the resultant vector ~ A + ~ B .

### Math

The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j and k. Hence find the length of PQ, in simplified surd form.

### Physics

If a&b are vectors such that a+3b=-3i+j & a-b=i-2j then find vectors a&b.