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Find a unit vector perpendicular to each...

Find a unit vector perpendicular to each of the vectors `( vec a+ vec b)` and `( vec a- vec b)` , where ` vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat k` .

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Find a unit vector perpendicular to each of the vector vec a+ vec b and vec a- vec b , where vec a=3 hat i+2 hat j+2 hat k and vec b= hat i+2 hat j-\ 2 hat k

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In each of the following find a unit a vector perpendicular to both vec (a) and vec (b) vec(a) = 2 hat (i) - 2 hat (j) + hat (k) and vec (b) = hat (i) + 2 hat (j) - 2 hat (k)

Find a unit vector perpendicular to both the vector vec(a) = 2 hat(i) + hat(j) - 2 hat(k) and vec(b) = 3 hat (i) - hat (j) + hat (k)

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find the scalar and vector projection of vec(b) on a vec (a) where vec(a) = hat (i) + 2 hat (j) + 2 hat (k) and vec (b) = hat (j) + 2 hat (k)

Find the projection of vector (vec(b)+vec (a )) on vector vec(a) where vec(a) = 2 hat (i) - hat (j) + 2 hat (k) and vec(b) = hat(j) + 2 hat (k)

Find the projection of vector (vec(b)+vec(c )) on vector vec(a) where vec(a) = hat (i) + 2 hat (j) + hat (k) , vec(b) = hat (i) + 3 hat (j) + hat (k) and vec c = hat (i) + hat (k)

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let vec pa n d vec q be any two orthogonal vectors of equal magnitu...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. If vec a is parallel to vec bxx vec c , then ( vec axx vec b).( vec ...

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  20. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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