Find the value of k such that the vectors u and v are orthogonal.

Question

𝘂 = −2k𝗶 + 3𝗷

𝘃 = 5𝗶 − 4𝗷

Answer 1

Remember that if these vectors are orthogonal, u•v = 0.

u•v = (-2k)(5) + 3(-4) = -10k - 12 = 0

10k = -12

k = -12/10 = -1.2