Question

If unit vector î is rotated through an angle of 30°
clockwise, then new vector obtained is​

Answer 1

Answer:

Explanation:

The i cap on rotating 30 degree in the clockwise direction will lie in the x-y plane and will also have (-j) cap value in its vector.

Thus on rotating the i cap in 30 degree clockwise we will get 2 components among which one will be cos30 icap and the other will be (-j)cap sin(90-60).

So, the vector will be √3/2 icap - 1/2jcap.

Answer 2

Explanation:

icos 30=√3/2

-jsin30=1/2

√3/2i-j/2