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The unit vector perpendicular to vec A =...

The unit vector perpendicular to `vec A = 2 hat i + 3 hat j + hat k` and ` vec B = hat i - hat j + hat k` is

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Determine a unit vector whoch is perpendicular to both vec A =2 hat I + hat j + hat k and vec B = hat I - hat j +2 hat k .

Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

Vectors vec A=hat i+hat j-2hat k and vec B=3hat i+3hat j-6hat k are

Which one of the following is the unit vector perpendicular to both vec(a)=-hat(i)+hat(j)+hat(k) and vec(b)=hat(i)-hat(j)+hat(k) ?

Show that vectors vec A =2 hat I -3 hat j - hat k and vec vec B =- 6 hat I + 9 hat j + 3 hat k are paarallel.

Find a unit vector perpendicular to the lane containing the vectors vec a=2hat i+hat j+hat k and vec b=hat i+2hat j+hat k

The unit vector parallel to the resultant of the vectors vec(A) = hat(i) + 2 hat(j) - hat(k) and vec(B) = 2 hat(i) + 4 hat(j) - hat(k) is

For what value of lambda are the vector vec a and vec b perpendicular to each other? where: vec a=lambda hat i+2 hat j+ hat k and vec b=4 hat i-9 hat j+2 hat k vec a=lambda hat i+2 hat j+ hat k and vec b=5 hat i-9 hat j+2 hat k vec a=2 hat i+3 hat j+4 hat k and vec b=3 hat i+2 hat j-lambda hat k vec a=lambda hat i+3 hat j+2 hat k and vec b= hat i- hat j+3 hat k

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

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4

SL ARORA-Motion in a Plane-Example
  1. Calculate the area of a paralleleogram whose two adjacent sides are fo...

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  2. If vec(A) and vec(B) denpte the sides of a parallelogram and its area ...

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  3. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

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  4. Find a unit vector perpendicular to each one of the vectors vec(a) = 4...

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  5. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

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  6. Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))

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  7. For any three vectors vec(A), vec(B) and vec(C) prove that vec(A) x...

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  8. For any to vectors vec A and vec B, prove that | vec A xx vec B|^2 ...

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  9. Find vec(A).vec(B) if |vec(A)| = 2, |vec(B)| = 5 and |vec(A) xx vec(B)...

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  10. Find the area of the rriangle formed by the tips of the vectors, ve...

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  11. Find the magnitude and direction cosines of the torque about the point...

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  12. Find the area of parallelogram whose diagonals are the vectors 3 hat i...

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  13. In any triangle ABC, prove that a sin A-b sin B -=c sin (A-B).

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  14. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot...

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  15. If vec A=hat i + 2 hat j -3 hat k, vec B =2 hat I -hat j + hat k and...

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  16. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  17. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  18. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  19. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  20. A particle is moving eastwards with a velocity of 5 ms(-1). In 10 sec...

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