Which of the following vectors are orthogonal?
A) $\langle 1,2\rangle \text { and }\langle 2,4\rangle$
B) $\langle 1,2\rangle \text { and }\langle-1,-2\rangle$
C) $\langle-1,-2\rangle \text { and }\langle 1,-1\rangle$
D) $\langle-1,-2\rangle \text { and }\langle-2,1\rangle$

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. For choice D, the dot product is $(-1)(-2) + (-2)(1) = 2 - 2 = 0$, indicating these vectors are orthogonal.

Which of the Following Vectors Are Orthogonal? A) ⟨1,2⟩ and ⟨2,4⟩\langle 1,2\rangle \text { and }\langle 2,4\rangle⟨1,2⟩ and ⟨2,4⟩

Which of the Following Vectors Are Orthogonal?
A) $\langle 1,2\rangle \text { and }\langle 2,4\rangle$