What is the value of P for which the vector `p(2hat(i)-hat(j)+2hat(k))` is of 3 units length ?

What is the value of p for which the vector vec(p) (2 hat(i)- hat(j) +2hat(k)) is of 3 unit's length?

The magnitude of the scalar p for which the vector p(-3hat(i)-2hat(j)+13 hat(k)) is of unit length is :

The magnitude of the scalar p for which the vector p(-3hat(i) -2hat(j) +13hat(k)) is of unit length is

What is the value of lamda for which the vectors hat(i) - hat(j) + hat(k), 2hat(i) + hat(j)- hat(k) and lamda hat(i) - hat(j)+ lamda (k) are coplanar

What is the value of lambda for which the vectors hat(i)-hat(j)+hat(k), 2 hat(i)+hat(j)-hat(k) and lambda hat(i)-hat(j)+lambda hat(k) are co-planar?

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.

Determine the values of p and q for which the vectors phat(i)+2hat(j)+6hat(k) " and " 3hat(i)-3hat(j)+qhat(k) are parallel.

What is the value of b such that the scalar product of the vector hat(i)+hat(j)+hat(k) with the unit vector parallel to the sum of the vectors 2hat(i)+4hat(j)-5 hat(k) and b hat(i)+2hat(j)+3hat(k) is unity ?

What is the value of b such that the scalar product of the vector hat(i) + hat(j) + hat(k) with the unit vector parallel to the sum of the vectors 2hat(i) + 4hat(j)-5hat(k) and b hat(i) + 2hat(j) + 3hat(k) is unity ?