Use the vectors u = 4, 4 and v = - 8, 3 to find the indicated quantity. (u · v) v

The scalar product, or dot product, of two vectors is the sum of the products of corresponding coordinates.

... u·v = (4, 4) · (-8, 3) = 4 (-8) + 4 (3) = - 20

Then the product of a scalar and a vector is a vector with each of the original coordinates multiplied by the scalar.

... (u·v) v = - 20v = - 20 (-8, 3) = (160, - 60)