Solved: Parallel Vectors In Exercises 6164, determine which of the vectors is (are)

Chapter 11, Problem 62

(choose chapter or problem)

In Exercises 61-64, determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your results.

\(\mathbf{z}=\frac{1}{2} \mathbf{i}-\frac{2}{3} \mathbf{j}+\frac{3}{4} \mathbf{k}\)

(a) 6i - 4j + 9k

(b) \(-\mathbf{i}+\frac{4}{3} \mathbf{j}-\frac{3}{2} \mathbf{k}\)

(c) 12i + 9k

(d) \(\frac{3}{4} \mathbf{i}-\mathbf{j}+\frac{9}{8} \mathbf{k}\)

Text Transcription:

z =frac 1 2 i - frac 2 3 j + frac 3 4 k

-i+frac 4 3 j-frac 3 2 k

frac 3 4 i-j+frac 9 8 k