Write a vector of magnitude 15 units in the direction of vector `hat(i) - 2hat(j) + 2hat(k)`.

Find a vector of magnitue 8 units in the direction of the vector, vec(a) = 5hat(i) - hat(j) + 2hat(k)

Find a unit vector in the direction of vec(A) = 3hat(i) - 2hat(j) + 6hat(k) .

Find the direction cosines of vector, 2hat(i) + hat(j) + 3hat(k) .

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

Write the direction cosines of the vector 2hat(i) + hat(j)- 5hat(k) .

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) - hat(j) + 2hat(k) and vec(b) = -hat(i) + hat(j) + 3hat(k) .

Find the unit vector in the direction of vector vec(a)=2hat(i)+3hat(j)+hat(k)

Write a unit vector in the direction of the sum of vectors vec(a) = 2hat(i) + 2hat(j) - 5hat(k) and vec(b) = 2hat(i) + hat(j) - 7hat(k) .

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

Find a vector in the direction of vector 5hat(i)-hat(j)+2hat(k) which has magnitude 8 unit.