Are ( -1.5, 6)T and (2, 2)T orthogonal?

A good answer might be:

No: the dot product is -3 + 12   =   9.

End of the Chapter

The dot product is not zero, so the two vectors are not orthogonal. You don't even have to think about lengths. (Remember that this test detects orthogonality no matter what the length of the vectors). The next chapter will discuss what a non-zero dot product of two vectors gives you.

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