Question

Calculate the cross product assuming that u*w = <7,6,-4>
(-5u + 3w)*w =<_______>

Answer 1

do u mean
\[\large u\times w=(7,6,-4) \]
?

Answer 2

yes

Answer 3

@ganeshie8 i need help

Answer 4

hint : cross product is distributive

Answer 5

\((-5u + 3w) \times w = -5u \times w + 3w \times w\)

Answer 6

how do i substitute the values ?

Answer 7

\((-5u + 3w) \times w = -5u \times w + 3w \times w\)
\( = -5 u \times w + 3 * 0\)
\( = -5 u \times w \)

Answer 8

cross product of same vectors is 0
\(i \times i = 0\)

Answer 9

substitute the given \(u \times w\) value now

Answer 10

=-5<7, 6 -4>
=<-35, -30, 20>

Answer 11

\(\large \color{red}{\checkmark}\)

Answer 12

Thanks alot

Answer 13

np :)