Question

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>

Answer 1

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

`\begin{gathered} (3,-1,6)(-3,-3,1) \\ (3*-3)+(-1*-3)+(6*1) \\ -9+3+6=0 \end{gathered}`

The correct answer is the first option

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