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Statement 1: A component of vector ve...

Statement 1: A component of vector ` vec b=4 hat i+2 hat j+3 hat k` in the direction perpendicular to the direction of vector ` vec a= hat i+ hat j+ hat ki s hat i- hat jdot` Statement 2: A component of vector in the direction of ` vec a= hat i+ hat j+ hat k` is `2 hat i+2 hat j+2 hat kdot`

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Find the unit vector in the direction of the vector vec a= hat i+ hat j+ 2 hat k .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

Find the unit vector perpendicular to the plane vec r.(2 hat i+ hat j+2 hat k)=5.

find the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

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 components of vec(a) in the direction of vec(b) where vec(a) = hat (i) + hat(j) and vec(b) = hat (j) + 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)

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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

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

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

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

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

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

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

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

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

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  12. 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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  13. If vec a is parallel to vec bxx vec c , then ( vec axx vec b).( vec ...

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

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  15. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  16. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

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  17. If the two diagonals of one its faces are 6 hat i+6 hat ka n d4 hat ...

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  18. The volume of a tetrahedron formed by the coterminous edges vec a ...

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  19. If vec a , vec b , and vec c are three mutually orthogonal unit vector...

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  20. Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b...

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