The magnitude of the vector `6hat(i) + 2hat(j) + 3hat(k)` is ?

Find the magnitude of the vector (2hat(i) - 3hat(j) - 6hat(k)) + (-hat(i) + hat(j) + 4hat(k)) .

Find the magnitude of the vector vec(a) = 3hat(i) +2hat(j) + 6hat(k) .

Write a vector in the direction of the vector hat(i) - 2hat(j) + 2hat(k) that has magnitude 9 units.

Find the sine of the angle between the vectors hat(i) + 2 hat(j) + 2 hat(k) and 3 hat(i) + 2 hat(j) + 6 hat(k)

For what value of 'a' the vectors 2hat(i) - 3hat(j) + 4hat(k) and ahat(i) + 6hat(j) - 8hat(k) are collinear ?

The Area of the Parallelogram determined by the vectors hat(i) + 2hat(j) + 3hat(k), -3hat(i) -2hat(j) + hat(k) (in sq. unit) is

Write the projection of the vector 7hat(i) + hat(j) - 4hat(k) on the vector 2hat(i) + 6hat(j) + 3hat(k) .

Write the value of p for which the vectors 3hat(i) + 2hat(j) + 9hat(k) and hat(i) - 2p hat(j) + 3hat(k) are parallel vectors.

The value of p such that the vectors hat(i) + 3hat(j) - 2hat(k), 2hat(i) - hat(j) + 4hat(k) and 3hat(i) + 2hat(j) + p hat(k) are coplanar is

Write the projection of the vector hat(i) + hat(j) + hat(k) along the vector hat(j) .