Question

If A=2i+3j+4k and B=4i+3j+2k , find AxB.

Concept of Physics - 1 , HC VERMA , Chapter - "Physics and Mathematics"

Answer 1

Thanks for asking the question!

ANSWER::

Given:-
A=2i+3j+4k 
B=4i+3j+2k

AxB = (3.2-4.3)i+(4.4-2.2)j+(2.3-3.4)k = -6i+12j-6k 

Hope it helps!

Answer 2

Answer:

A×B = -6i+12j-6k

Explanation:

It is given that,

Vector A = 2i+3j+4k

Vector B = 4i+3j+2k

We have to find A×B :

$A\times B=\begin{bmatrix}i&j&k\\2&3&4\\4&3&2\end{bmatrix}$

$A\times B=i(6-12)-j(4-16)+k(6-12)$

$A\times B=-6i+12j-6k$

So, A×B = -6i+12j-6k

Hence, this is the required solution.