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Show that the vector A = (hati) - (hat...

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

Text Solution

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A vector 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 impiles that A is parallel lto B and magnitude of A is `(1)/(3)` times the magnitude of B.
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