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laws of vector algebra

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Draw appropiate figures to give geometric proofs for the following laws of vector algebra:

(a+b)+c = a +(b+c)

lambda(a+b) = lambda(a) + lambda (b) : lambda is any scalar

a(b+c) = ab + ac

....................................................................
a,b,c do not need to be coplanar.

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Laws of vector algebra are applied.

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Draw appropiate figures to give geometric proofs for the following laws of vector algebra:

(a+b)+c = a +(b+c)

Let a, b and c are the vectors given on the left as labeled.

The vector a+b is given by

The vector (a+b)+c is given by

Now, the vector b+c is given by

The vector a+(b+c) is given by

Now we can observe that both the vectors are one same by keep ...

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