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Find the unit vector parallel to the sum of the vectors veca = 2hati+4hatj-5hatk and vecb = hati+2hatj+3hatk. Also find its direction cosines. |
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Answer» Solution :`veca+vecb = 2hati+4hatj-5hatk+hati+2hatj+3hatk` = `3hati+6hatj-2hatk` `|veca+vecb| = SQRT(9+36+4) = 7` UNIT VECTORS PARALLEL to `veca+vecb = (3hati+6hatj-2hatk)/7` D cs. are 3/7, 6/7, -2/7. |
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