Question

Find out scalar product of vectors :
2i^-2j^ -3k^ and 4i^+3j^-k^
{full explanation please}​

Answer 1

Answer:

20

Explanation:

scelar product means dot product of two vectors ( A and B) is

A . B = ( 2i + 5k) . ( 3j + 4k)

= ( 2i + 0j + 5k) . ( 0i +3j + 4k)

= ( 2 * 0) + ( 0 *3) + (5 * 4)

( because i. i =1; j. j =1 ; k. k =1; i. j =0; j. K =0; k. i =0)

= 0 +0+ 20

= 20 (answer).

Answer 2

Answer:

A . B = ( 2i + 5k) . ( 3j + 4k)

= ( 2i + 0j + 5k) . ( 0i +3j + 4k)

= ( 2 * 0) + ( 0 *3) + (5 * 4)

( because i. i =1; j. j =1 ; k. k =1; i. j =0; j. K =0; k. i =0)

= 0 +0+ 20

= 20

hope it helps u !!