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Let vec pa n d vec q be any two orthogo...

Let ` vec pa n d vec q` be any two orthogonal vectors of equal magnitude 4 each. Let ` vec a , vec b ,a n d vec c` be any three vectors of lengths `7sqrt(15)a n d2sqrt(33),` mutually perpendicular to each other. Then find the distance of the vector `( vec adot vec p) vec p+( vec adot vec q) vec q+( vec adot( vec pxx vec q))( vec pxx vec q)+( vec bdot vec p) vec p( vec bdot vec q) vec q+( vec bdot( vec pxx vec q))( vec pxx vec q)+( vec cdot vec p) vec p+( vec cdot vec q) vec q+( vec cdot( vec pxx vec q))( vec pxx vec q)` from the origin.

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let vec u , vec v and vec w be vectors such that vec u+ vec v+ vec w...

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  2. If vec a , vec b ,a n d vec c are three non-coplanar non-zero vecr...

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  3. Let vec pa n d vec q be any two orthogonal vectors of equal magnitu...

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  4. vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors an...

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  5. Find a unit vector perpendicular to each of the vectors ( vec a+ vec...

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  6. Prove that ( vec a.( vec bxx hat i)) hat i+( vec a.( vec bxx hat j)) h...

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  7. Column I, Column II The possible value of vec a if vec r=( hat i+ ha...

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  8. If vec A, vec B and vec C are vectors such that |vec B|=|vec C|. Prove...

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  9. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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  10. Statement 1: Vector vec c=-5 hat i+7 hat j+2 hat k is along the bisec...

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  11. Statement 1: A component of vector vec b=4 hat i+2 hat j+3 hat k in...

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  12. Statement 1 : Points A(1,0),B(2,3),C(5,3),a n dD(6,0) are concyclic. S...

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  13. Let vec r be a non-zero vector satisfying vec r dot vec a= vec rdo...

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  14. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

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  15. Statement-I A=2hat(i)+3hat(j)+6hat(k), B=hat(i)+hat(j)-2hat(k) and C=h...

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  16. If vec a , vec b ,a n d vec c are mutually perpendicular vectors a...

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  17. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  18. The number of vectors of unit length perpendicular to vectors vec ...

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  19. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

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  20. Let vecf(t)=[t] hat i+(t-[t]) hat j+[t+1] hat k , w h e r e[dot] deno...

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