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Explain cross product of two vectors. |
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Answer» Solution :Defination : The vector product or cross product of two vector `veca and vecb` is another vector `vec c`m whose magnitude is equal to product of magnitude of the two vectors and sine of the smaller angle between them. If the product of two vector gives resultant vector quantity then this product is vector product. Suppose two vectors `veca and vecb` and angle between them is `theta` `therefore` Vector product `vecaxxvecb=|veca||vecb|sinthetavecn=ab sinthetahatn` where `|veca|=aand |vecb|=b` and `hatn` is a unit vector PERPENDICULAR to the plane FORM by `veca and vecb` The product is known as cross `(xx)` product also. Suppose `vecaxxvecb` is denoted by `vec c` then `vecc=ab sin thetahatn` and magnitude of `c=ab SINTHETA` Direction of `vecc` is perpendicular to the plane form by `veca and vecb` and its direction is given by right HAND screw RULE. |
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