Question

The scalar product of vector = 3.00 + 2.00 and vector is 10.0. Which of the following vectors could be vector ?

Answer 1

Step-by-step explanation:

Let us assumed that, vector a is 3i+2j and another vector is b. The scalar product of vector 3i + 2j and b is 10. Let

b = xi+yj

ATQ,

`a{\cdot} b=10\\\\(3i+2j){\cdot} (xi+yj)=10\\\\3x+2y=10`

Now we can find vector b using hit and trial method i.e. if x = 2, y = 2 and if x = 4 and y = -1.

Then vector b can be :

`b=2i+2j`

or

`b=4i-j`