What does A S ~ A S , the scalar product of a vector with

Chapter 1, Problem Q1.19

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QUESTION:

What does A S ~ A S , the scalar product of a vector with itself, give? What about A S : A S , the vector product of a vector with itself?

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QUESTION:

What does A S ~ A S , the scalar product of a vector with itself, give? What about A S : A S , the vector product of a vector with itself?

ANSWER:

Step 1 of 2

The scalar product of two vectors and is given as:

where,  is the angle between and .

So, the scalar product of with itself is:

Thus, the scalar product of a vector with itself gives the square of its magnitude.

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