Mathematics Vector Algebra Properties of Vectors

What is the locus of the point (x, y) for which the vectors \(\rm (\hat i-x\hat j-2\hat k)\) and \(\rm (2\hat i+\hat j+y\hat k)\) are orthogonal?

1

A circle

2

An ellipse

3

A parabola

4

More than one of the above

5

None of the above

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