Find the inner product for (3,1,4) * (2,8,-2) and state whether the vectors are perpendicular.

6

Not perpendicular

Step-by-step explanation:

Generally, when we have two vectors, (x1, x2, x3...xn) and (y1, y2, y3...yn) the inner product is given by x1*y1+(x2*y2)+(x3*y3)(xnyn)

If the above sum is zero then the two vectors are perpendicular else they are not.

Given (3, 1, 4) and (2, 8, -2)

The inner product will be

(3*2)+(1*8)+(4*-2)=6+8-8=6

The inner product is 6 hence not perpendicular.