Answered

IDNLearn.com offers a comprehensive solution for all your question and answer needs. Ask your questions and receive prompt, detailed answers from our experienced and knowledgeable community members.

Which of the following vectors is orthogonal to the vector <3, -1, 6> ?<-3, -3, 1><-3, 1, -6><1, 6, -3><6, -1, -3>

Sagot :

SOLUTION

ORTHOGONAL VECTORS= This are perpendicular vectors. Two vectors are said to be orthogonal if their dot product is zero

HOW TO FIND DOT PRODUCT

So , we will test each of the options one after the other

Anyone that gives zero is the final answer

That is , i will be finding the dot product of (3,-1,6) with each of the options. The one whose dot product is zero is the one orthogonal to the given vector

OPTION A

[tex]\begin{gathered} (3,-1,6)(-3,-3,1) \\ (3\times-3)+(-1\times-3)+(6\times1) \\ -9+3+6=0 \end{gathered}[/tex]

The correct answer is the first option

We don't need to test other options. Definately other options won't give zero

View image CelsoI654774
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.