Determine whether the pair of vectors is orthogonal.
-$$\langle 3 , - 9 \rangle , \langle - 6 , - 4 \rangle$$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of $\langle 3, -9 \rangle$ and $\langle -6, -4 \rangle$ is $3(-6) + (-9)(-4) = -18 + 36 = 18$, which is not zero. Therefore, the vectors are not orthogonal.

Determine Whether the Pair of Vectors Is Orthogonal ⟨3,−9⟩,⟨−6,−4⟩\langle 3 , - 9 \rangle , \langle - 6 , - 4 \rangle⟨3,−9⟩,⟨−6,−4⟩

Determine Whether the Pair of Vectors Is Orthogonal $\langle 3 , - 9 \rangle , \langle - 6 , - 4 \rangle$