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Let veca=hati+hatj+hatk,vecb=2hati+3hatk,vecc=hati-hatj and vecd=6hati+2hatj+3hatk. If vecd=x(vecbxxvecc)+y(veccxxveca)+z(vecaxxvecb) where x, y and z are scalars then the value of x+y+z is k. the number of prime factors of 5k is. |
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Answer» `x=(veca.vecd)/([vecavecbvecc]),y=(vecbvecd)/([vecavecbvecc]),z=(veccvecd)/([vecavecbvecc])` `((veca+vecb+vecc).vecd)/([vecavecbvecc])=(34)/(5)` |
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