Determine whether the pair of vectors is orthogonal.
-$$\langle - 6 , \sqrt { 3 } \rangle , \langle - 2 \sqrt { 3 } , - 12 \rangle$$
A) Yes
B) No

Name: Determine whether the pair of vectors is orthogonal. -\[\langle - 6 , \sqrt { 3 } \rangle , \langle - 2 \sqrt { 3 } , - 12 \rangle\] A) Yes B) No
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Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is zero. The dot product of the given vectors is $(-6) \cdot (-2\sqrt{3}) + \sqrt{3} \cdot (-12) = 12\sqrt{3} - 12\sqrt{3} = 0$, indicating they are orthogonal.

Determine Whether the Pair of Vectors Is Orthogonal ⟨−6,3⟩,⟨−23,−12⟩\langle - 6 , \sqrt { 3 } \rangle , \langle - 2 \sqrt { 3 } , - 12 \rangle⟨−6,3​⟩,⟨−23​,−12⟩

Determine Whether the Pair of Vectors Is Orthogonal $\langle - 6 , \sqrt { 3 } \rangle , \langle - 2 \sqrt { 3 } , - 12 \rangle$