Question

Evaluate the expression: v*w. Given the vectors: r=<8,1,−6>, v=<6,7,−3>, w=<−7,5,2>.

Answer 1

To evaluate the expression v*w, we calculate the dot product of vectors v and w. The resulting value is -13.

Step-by-step explanation:

To evaluate the expression v*w, we need to calculate the dot product of vectors v and w. The dot product of two vectors is calculated by multiplying their corresponding components and then summing them up. In this case, the dot product is calculated as follows:

v*w = (v1*w1) + (v2*w2) + (v3*w3)

Substituting the given values, we have:

v*w = (6*-7) + (7*5) + (-3*2) = -42+35-6 = -13.