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Show that the following vector are co-planar. hati+2hatj+3hatk, -2hati-4hatj+5hatk, 3hati+6hatj+hatk |
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Answer» SOLUTION :LET `veca = hati+2hatj+3hatk` `vecb = -2hati-4hatj+5hatk` `vecc = 3hati+6hatj+hatk` = 1(-4-30)-2(-2-15)+3(-12+12) = -34+34 = 0 As we know scalar TRIPLE product`(VECAXXVECB).vecc = 0`, it follows that the given vectors `veca.vecb.vecc` are coplanar. |
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