Question

if A=3i-j-4k B=-2i+4j-3k C=i+2j-k find 2A-B+3C​

Answer 1

Answer:

11i + 8k

these is no value of j

Answer 2

Answer:

if A=3i-j-4k B=-2i+4j-3k C=i+2j-k then 2A-B+3C​=$11i+8j-14k$

Explanation:

A vector is a physical quantity that has both magnitude and direction.

we can perform addition, subtraction, and multiplication of vectors using vector algebra.

from the question, we have given three vectors which are given by

$A=3i-j-4k\\B=-2i+4j-3k\\C=i+2j-k$

generally, a vector in its component form is given by

$A=ai+bj+ck$

we can multiply a vector with a constant $\alpha$ as follows

$\alpha A=\alpha ai+\alpha bj+\alpha ck$

so

$2A=6i-2j-8k\\3C=3i+6j-3k$

but the required vector is 2A-B+3C

$2A-B+3C=$$11i+8j-14k$