Question

How do you find the inner product `<3,-2,4>*<1,-4,0>`?

Answer 1

The inner product is `=11`

Explanation:

The inner or dot product of 2 vectors

`vecA= < x_1 , y_1,z_1>`

And

`vecB= < x_2, y_2, z_2>`

is

`vecA.vecB=< x_1 , y_1,z_1>.< x_2, y_2, z_2>`

`=x_1x_2 + y_1y_2 +z_1z_2`

Here, we have

`<3, -2, 4>.<1,-4,0> = (3*1+2*4+4*0)=3+8=11`