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Show that vecA=2hati-3hatj+4hatk and B =...

Show that `vecA=2hati-3hatj+4hatk and B = -6hati+9hatj-12hatk` are parallel to each other.

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We are given: `vecA=2hati-3hatj+4hatk and B = -6hati+9hatj-12hatk`
We are to prove, `vecA||vecB`
We know that, `vecA||vecB`if `vecAxxvecB=0`
`:. vecAxxvecB=|(hati,hatj,hatk),(2,-3,4),(-6,9,-12)|=hati(36-36)-hatj(-24+24)+hatk(18-18)=0`
Hence , `vecA` is parallel to `vecB` .
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