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Find a vector of magnitude 5 units, and ...

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors `vec a =2 hat i+3 hat j- hat k`and `vec b= hat i-2 hat j+hat k`.

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Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat j+ hat k .

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Find all vectors of magnitude 10 sqrt 3 that are perpendicular to the plane of vectors vec a=hat i+2 hat j+hat k and vec b=-hat i+3 hat j+4 hat k .

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Find a unit vector in the direction of the sum of the vectors: vec a= 2 hat i+ 2 hat j+ 5 hat k and vec b= 2 hat i+ hat j- 3 hat k .

Find a unit vector in the direction of the sum of the vectors: vec a= - hat i+ hat j+ hat k and vec b= 2 hat i+ hat j- 3 hat k .

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 .

Find a unit vector parallel to the sum of the vector vec a= hat i+ hat j+ hat k , vec b= 3 hat i+ hat j- 4 hat k and vec c=-2 hat i- hat j-hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a= vec b + vec c then is it true that |vec a|= |vec b|+ |vec c|...

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  2. Find the value of x for which x (hat i +hat j +hat k) is a unit vector...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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