Given the following vectors A=2i+3j+k and B=4i+2j−k, find I_A xx 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.

omvamen71

omvamen71

Answered question

2022-10-05

Given the following vectors A = 2 i + 3 j + k and B = 4 i + 2 j k, find I A × 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 & Explanation

Jordan Owen

Jordan Owen

Beginner2022-10-06Added 7 answers

To get the unit vector in the direction of v , just multiply by the scalar 1 | v | , where | v | = v 1 2 + v 2 2 + v 3 2
So, for instance, I A = 1 14 ( 2 i + 3 j + k )
Ariel Wilkinson

Ariel Wilkinson

Beginner2022-10-07Added 1 answers

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

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