Physics

A and B are vectors in the same plane. If A= 8i+6j. Find the vector B such that |A+B| = 14.14 units and A is perpendicular to B.

  1. 1
asked by Ismail
  1. A is perpendicular to B
    so
    A dot B = 0
    AxBx + AyBy = 0
    8 Bx + 6 By = 0
    and
    A + B = (Ax + Bx)i+ (Ay+By)j
    |A+B|^2 = 14.14^2 = (Ax+Bx)^2+(Ay+By)^2
    so
    (Ax+Bx)^2+(Ay+By)^2 = 100
    (8+Bx)^2 +(6+By)^2 = 100
    but we know
    By =-(8/6)Bx = -(4/3) Bx
    plug and chug.

    posted by Damon
  2. Sorru for the inconvenience... but I didnt get this concept
    |A+B|^2 = 14 ??!!

    posted by Ismail
  3. |A+B|^2 = 14.14^2 = 200 not 100

    I did not use calculator, knew sqrt 2 = 1.414

    posted by Damon
  4. Oh .. the rest of the steps are the same then ?

    posted by Ismail
  5. yes

    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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
  2. 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
  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
  4. Physics

    The two vectors a and b have equal magnitudes(on an x-y plane vector a is 30 degrees from the x axis then vector b is 75 degrees from the head of vector a it is heading towards north west) of 10m A)find the x component of their
  5. physics

    Suppose vector A=3i-2j, B= -i-4j and vector C are three vectors in xy plane with the property that vectors A+B-C. What is the unit vector along vector C?
  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. Answer
  7. 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
  8. 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
  9. 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
  10. Physics

    An air traffic controller observes two airplanes approaching the airport. The displacement from the control tower to plane 1 is given by the vector A , which has a magnitude of 220 km and points in a direction 32 degrees north of
  11. 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.

More Similar Questions