Q18 of 138 Page 24

Write the component of along .

Component of a given vector along is given by the length of on .

Let be the angle between both the vectors.

So the length of on is given as:

By vector dot product, we know that:

Cos =

Therefore,

Hence,

For any two non-zero vectors, write the value of

Write the projections of on the coordinate axes.

Write the value of where is any vector.

Find the value of θϵ (0, π/2) for which vectors and are perpendicular.