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If alpha=3hati+4hatj+5hatk and beta=2hat...

If `alpha=3hati+4hatj+5hatk and beta=2hati+hatj-4hatk` than express `vecbeta` in the form `vecbeta=vec(beta_(1))+vecbeta_(2) to `alpha and vec(beta_(2))` is perpendicular to `vecalpha`.

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The correct Answer is:
`vecp=(-(3)/(5)hati-(4)/(5)hatj-hatk)+((13)/(5)hati+(9)/(5)hatj-3hatk)`
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If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk , then express vecbeta in the form vecbeta=vec(beta_1)+vec(beta_2) , where vec(beta_1) is parallel to vecalpha and vec(beta_2) is perpendicular to vecalpha .

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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION III)
  1. If veca=hati+2hatj-3hatk,vecb=3hati-hatj+2hatk, show that veca+vecb an...

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  2. Find the value of lambda if veca=2hati+3hatj+4hatk and vecb=3hati+2hat...

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  3. If veca=5hati-hatj+7hatk and vecb=hati-hatj+lambdahatk. Find lambda su...

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  4. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, Find lambda su...

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  5. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

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  6. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  7. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

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  8. Find |veca-vecb| if |veca|=2,|vecb|=3,and veca.vecb=4

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  9. If veca is any vector, then show that veca=(veca.hati)hatj+(veca.hatj)...

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  10. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  11. If veca+vecb+vecc=0,|veca|=2,|vecb|=4 and |vecc|=3, then find veca.vec...

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  12. Find the projection of hati-hatj on the line represented by the vector...

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  13. Find the scalar projection of 7hati+hatj-4hatk on the vector 2hati+6ha...

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  14. Find the projection of vecb+vecc on veca where veca=hati+2hatj+hatk,...

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  15. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  16. Find the unit vector in the direction of the vector veca=hati+hatj+hat...

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  17. Find the direction cosines of the vector hati+2hatj+3hatk

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  18. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  19. If alpha=3hati+4hatj+5hatk and beta=2hati+hatj-4hatk than express vecb...

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  20. Dot product of a vector with vectors 2hati+3hatj+hatk,4hati+hatj and h...

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