Q49 of 177 Page 24

Find a vector in the direction of vector which has magnitude 21 units.

Given that

The unit vector of any vector can be written as

Let the required vector be .

Any vector () with magnitude m and unit vector can be written as .

Since the magnitude of is 21 and it’s unit vector is , we get

Find a vector of magnitude making an angle of π/4 with x-axis π/2 with y-axis and an acute angle θ with z-axis.

Write a unit vector in the direction of , where P and Q are the points (1, 3, 0) and (4, 5, 6) respectively.

If and –3 ≤ λ ≤ 2, then write the range of

In a triangle OAC, if B is the mid-point of side AC and then what is ?