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Show that the vector A=hati-hatj+2hatk i...

Show that the vector `A=hati-hatj+2hatk` is a parallel to a vector `B=3hati-3hatj+6hatk`.

Text Solution

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A yector A is parallel to an another vector B if it can be written as A=mB
Here `A=(hati-hatj+2hatk)=(1)/(3)(3hati-3hatj+6hatk)`
or `A=(1)/(3)B`
This implies that A is parallel to B and magnitude of A is `(1)/(3)` times the magnitude of B.
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