Question

1. Find the scalar product of the vectors.
i+2j+3k​

Answer 1

Answer:

Given,

a

=2

i

^

+3

j

^

+4

k

^

and

b

=

i

^

−2

j

^

+

k

^

So scalar product

a

.

b

=(2

i

^

+3

i

^

−4

k

^

)(i−2

j

^

+

k

^

)

=2.1+3(−1)−4(1)

=2−5−4 [Here

i

^

.

i

^

=1,

j

^

.

j

^

=1,

k

^

.

k

^

=1]

=2−10

=−8.