Question

can any of the rectangular components of a given vector have magnitude grater than the vector itself ? Xplain

Answer 1

NO..

The Rectangular Components of a Vector A has values Acostheta A sin theta.

Since The Values of Cos Theta and Sin theta can never be grater than 1.

Hence The Value of Any Rectangular components of a vector can never be greater than the given vector.

Thanks !

Answer 2

No, any rectangular component of a vector can not have magnitude more than the vector itself.

As the name suggests, it's a component of the vector. A component can not be larger than the whole thing.

If we see mathematically, the rectangular components of a vector A is given as A cos theta and A sin theta. Since sin theta and cos theta have maximum value 1, the maximum value of the rectangular components can be A. It can never be more than A.

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