Question

consider two vector F1= 2i+5k and F2= 3j+ 4k.the magnitude of scalar product of these vectors is​

Answer 1

❇Scalar product means dot product

and that is

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

=2i.3j+2i.4k+5k.3j+5k.4k

( as we i.i=1, j.j=1, k.k=1 and i.j=0, i.k=0, k.j=0)

= 20 ans

Answer 2

The dot product of the two above vectors is equal to 20.

Explanation:

Force, $F_1=2i+5k$

Force, $F_2=3j+ 4k$

Scalar product means dot product of vectors. It is given by :

$F_1{\cdot} F_2=(2i+5k){\cdot} (3j+4k)$

We know that,

i.i=j.j=k.k=1

and

i.j=0, i.k=0, k.j=0

So,

$=(2i+5k){\cdot} (3j+4k)\\\\=(0+0+20)\\\\=20$

So, the dot product of the two above vectors is equal to 20.

Learn more,

Vectors

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