Question

Vector A⃗  points in the negative y direction and has a magnitude of 5 units. Vector B⃗  has twice the magnitude and points in the positive x direction.

Find the direction and magnitude of A⃗ −B⃗ .

Answer 1

The vector A in its component form is written as follows: A=-5ý The vector B in its component form is written as follows: B = 10 The vector Ā- B in its component form is, A-B=-5ý-10 8 =-10% -5y The magnitude vector Ā-B is, |A - BI = V(-10)’ +(-5) = V100+ 25 = 125 = 11.2 units

Draw the vector A-B as follows: A-B measured counterclockwise from the From the figure, the direction of vector positive x-direction is, O'=180° + =180° + tan-1 = 180° + 26.50 206.5 counterclockwise from the +x direction.