4.2 Multiplication of Vector by a Scalar and the Parallel Condition of Two Vectors
1. When a vector is multiplied by a scalar k, the product is . Its magnitude is k times the magnitude of the vector .
2. The vector is parallel to the vector if and only if , where k is a constant.
3. If the vectors and are not parallel and , then h = 0 and k = 0.
If vectors are not parallel and , find the value of k and of h.
The vectors are not parallel, so
k – 7 = 0 → k = 7
5 + h = 0 → h = –5