Question

If vector A= 10ax-4ay-6az, find the component vector of A along ay, magnitude of 5A-B, and a unit vector along 3A+2B. Vector B = 2 ax + ay

Answer 1

Answer

the component vector of A along a_y

Is =-4a_y.

magnitude of 5A-B

$=48a_x-21a_y-31a_z$

Vector 3A+2B

= $=34a_x-10a_y-12a_z$

It's unit vector

$=$ $\frac{34a_x-10a_y-12a_z}{10\sqrt{14}}$