My question is on the unit vector in the direction of a given vector

Question

My question is about the unit vector in the direction of a given vector.

Given the following vectors $A = 2i + 3j + k$ and $B = 4i + 2j -k$, find $I_A \times I_B$, where $I_A$ is the unit vector in the direction of vector $A$ while $I_B$ is the unit vector in the direction of vector $B$.

Answer 1

Vector A= unit vector of A* magnitude of A Similar is for vector B. Then take the cross product of Ia X Ib where Ia is unit vector of A and Ib is unit vector of B. You should be getting your answer in terms of Ic

Answer 2

To get the unit vector in the direction of $\vec v$, just multiply by the scalar $\frac1{\lvert \vec v\rvert}$, where ${\lvert \vec v\rvert}=\sqrt{v_1^2+v_2^2+v_3^2}$.

So, for instance, $IA=\frac1{\sqrt{14}}\cdot(2i+3j+k)$.