Use the dot product to determine if v and w are orthogonal I

Use the dot product to determine if v and w are orthogonal. If the vectors are not orthogonal, find the angle between them. Round to the nearest tenth of a degree. v = 20i + 4j, w = -i + 5j

Solution

v = 20i + 4j ; w = -i +5j

dot product : v.w = (20i +4j)(-i +5j)

= -20 + 20 =0

Since dot product of v and w is zero which v and w are orthogonal