What Value of X Will Cause the Two Vectors $\langle 5 x , - 1,2 \rangle$

question 74

Multiple Choice

What value of x will cause the two vectors $\langle 5 x , - 1,2 \rangle$ and $\langle 3,2 x , - 2\rangle$ to be orthogonal?

• A) \(- \frac { 17 } { 4 }\)
• B) \(- \frac { 4 } { 17 }\)
• C) \(\frac { 13 } { 4 }\)
• D) \(- \frac { 13 } { 4 }\)
• E) \(\frac { 17 } { 4 }\)
• F) \(\frac { 4 } { 17 }\)
• G) \(- \frac { 4 } { 13 }\)
• H) \(\frac { 4 } { 13 }\)