Determine whether the pair of vectors is orthogonal.
-$$\langle 16 , - 1 \rangle , \langle 4,32 \rangle$$
A) Yes
B) $\mathrm { No }$

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of $\langle 16, -1 \rangle$ and $\langle 4, 32 \rangle$ is $16 \times 4 + (-1) \times 32 = 64 - 32 = 32$, which is not zero. Therefore, the vectors are not orthogonal.

Determine Whether the Pair of Vectors Is Orthogonal ⟨16,−1⟩,⟨4,32⟩\langle 16 , - 1 \rangle , \langle 4,32 \rangle⟨16,−1⟩,⟨4,32⟩

Determine Whether the Pair of Vectors Is Orthogonal $\langle 16 , - 1 \rangle , \langle 4,32 \rangle$