Find the value of ‘p’ for which the vectors and are parallel.

If and are two equal vectors, then write the value of x + y + z.

Write a unit vector in the direction of the sum of the vectors and

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.