Question

If a=3i-4j and b=-i-4j calculate the direction of a+b

Answer 1

Answer:

See below

Step-by-step explanation:

We are given,

$\vec{a} = 3i - 4j\\\vec{b} = -i - 4j$

Addition of both the vectors is given by,

$\vec{a} + \vec{b} = 2i - 8j$

The tangent of the angle between them is,

$tan( \theta ) = \frac{(\vec{a} + \vec{b} )_y }{ ( \vec{a} + \vec{b}  )_x} = \frac{-8}{2} = -4\\\\\theta = -75.96^{\circ}$

Answer 2

Step-by-step explanation:

2j-8j so y/x is -8/2 so it is -4 which is -75.96 degrees so it will be tan^-1(4) with positive x-axis -clockwise