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If vec a= hat i+hat j+hat k , vec b = 2 ...

If `vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c = hat i-2 hat j+hat k`, find a unit vector parallel to the Vector `2 vec a - vecb+ 3 vec c`

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If vec a= hat i- 2 hat j and vec b= 2 hat i+ 2 hat j , find a unit vector parallel to the vector 3 vec a- 2 vec b .

If vec a=hat i+2 hat j+hat k and vec b=2 hat i+hat j and vec c=3 hat i-4 hat j-5 hat k , then find a unit vector perpendicular to both of the vectors vec a-vec b and vec c-vec b .

If vec a = 2hat i -3 hat j+ 3hat k and vec b =3 hat i- hat j - 4 hat k , find vec a + vec b .

If vec a = 2hat i - hat j+ 3hat k and vec b =4 hat i+ hat j - 3 hat k , find vec a + vec b .

If vec a=4 hat i -hat j +hat k and vec b =2hat i-2 hat j+hat k , then find a unit vector vec a+ vec b .

If vec a= 2 hat i+ hat j- hat k , vec b= -hat i+ 2 hat j- 4 hat k and vec c= hat i+ hat j+ hat k , find (vec a * vec b)* (vec a* vec c) .

If vec a= hat i- 2 hat j+ hat k , vec b= 2 hat i - hat j+ hat k and vec c= hat i+ hat j- 2 hat k , compute (vec a cross vec b)* vec c .

Find |vec a xx vec b| , if vec a = 2hat i-5 hat j+3 hat k and vec b = hat i-2 hat j +2 hat k .

If vec a= hat i+ hat j+ hat k , vec b= 4 hat i- 2 hat j+ 3 hat k and vec c= hat i- 2 hat j+ hat k , find a vector of magnitude 6 units which is parallel to the vector 2 vec a- vec b+ 3 vec c .

If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find vec a - 2vec b .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the value of x for which x (hat i +hat j +hat k) is a unit vector...

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  2. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  3. If vec a= hat i+hat j+hat k , vec b = 2 hat i- hat j+3 hat k and vec c...

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  4. Show that the points A (1, - 2, - 8), B (5, 0,- 2) and C (11, 3, 7) ar...

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  5. Find the position vector of a point R which divides the line joining t...

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  6. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hatk a...

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  7. Show that the direction cosines of a vector equally inclined to the ax...

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  8. Let a=hat(i)+4hat(j)+2hat(k), b=3hat(i)-2hat(j)+7hat(k) and c=2hat(i)-...

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  9. The scalar product of the vectorhat i+hat j+ hatk with a unit vector a...

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  10. If vec a, vec b ,vec c are mutually perpendicular vectors of equal ma...

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  11. Prove that (vec a+vec b)* (vec a+ vec b)=|vec a|^2 +|vec b|^2, if and ...

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  12. If θ is the angle between two vectors vec a and vec b, then vec a*vec ...

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  13. Let vec a and vec b be two unit vectors and θ is the angle between the...

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  14. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

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  15. If theta is the angle between any two vectors vec(a) and vec(b), "then...

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  16. If vec a is a non-zero vector, then (1/|vec a|) vec a is a..........

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  17. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

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  18. The vector veca+vecb bisects the angle between the non collinear vecto...

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  19. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

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  20. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

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