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Find the magnitude of a, the magnitude of b and the scalar product of vectors a and b.

Find the magnitude of a, the magnitude of b and the scalar product of vectors a and-example-1

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The magnitude of a is


\lvert a\rvert=\sqrt[]{-5^2+1^2-9^2}=\sqrt[]{25+1+81}=\sqrt[]{107}

The magnitude of b is


\lvert b\rvert=\sqrt[]{-1^2-9^2-1^2}=\sqrt[]{1+81+1}=\sqrt[]{83}

The scalar product of a. b is


a.b=(-5i+j-9k).(-i-9j-k)
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