Physics, asked by siddharth0017, 9 months ago

Prove that associative property is not valid for vector product by using following vectors

P = 7i - 6j + 2k and Q = 2i - j + 3k

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Answered by Anonymous

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It should not be confused with the dot product (projection product). together with the cross product is an algebra over the real numbers, which is neither commutative nor associative, but is a Lie algebra with the cross product being the Lie bracket. vectors to produce a vector perpendicular to all of them.

Answered by hannjr

Answer:

One way to evaluate the vector cross product is by using a determinant:

i j k

P X Q = 7 -6 2

2 -1 3

i j k

Q X P = 2 -1 3

7 -6 2

You can evaluate these determinants or use the rule that the interchange of two rows in a determinant causes a change in the sign of the determinant.

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Prove that associative property is not valid for vector product by using following vectorsP = 7i - 6j + 2k and Q = 2i - j + 3k​

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Prove that associative property is not valid for vector product by using following vectors

P = 7i - 6j + 2k and Q = 2i - j + 3k