Determine whether the vectors are orthogonal.
\[
\langle 2,4\rangle \text { and }\langle-6,-12\rangle
\]
Are the vectors orthogonal?
No
Yes

Answer

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Answer

\(\boxed{\text{No, the vectors are not orthogonal.}}\)

Steps

Step 1 ：Given two vectors \(\langle 2,4\rangle\) and \(\langle-6,-12\rangle\)

Step 2 ：Two vectors are orthogonal if their dot product is zero. The dot product of two vectors a = [a1, a2] and b = [b1, b2] is calculated as a1*b1 + a2*b2.

Step 3 ：Calculate the dot product of the given vectors: \(2*(-6) + 4*(-12) = -60\)

Step 4 ：The dot product of the two vectors is not zero, which means the vectors are not orthogonal.

Step 5 ：\(\boxed{\text{No, the vectors are not orthogonal.}}\)

Determine whether the vectors are orthogonal.\[\langle 2,4\rangle \text { and }\langle-6,-12\rangle\]Are the vectors orthogonal?NoYes

Answer

Popular Problems

Determine whether the vectors are orthogonal.
\[
\langle 2,4\rangle \text { and }\langle-6,-12\rangle
\]
Are the vectors orthogonal?
No
Yes