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

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

Text Solution

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