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Determine the angles which the vector ...

Determine the angles which the vector
`vec(A) = 5 hati + 0 hatj +5hatk` makes with X-,Y- ad Z-axes.

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The angle between the vector vec(r) = 4 hati + 8 hatj + hatk makes with the x-axis is :

The angles which the vector A=3hati + 6hatj+2hatk makes with the co-ordinate axes are

Find the sine of the angle between the vectors vec(A) = 3 hati - 4hatj +5hatk and vec(B) = hati - hatj +hatk .

Find the angle between the vectors vec A = hati + hatj + hatk and vec B =-hati - hatj + 2hatk .

What is the angle between a vector vec A = 4hati +3hatj +5hatk and the x-axis ?

Find the angle between the vectors vec(A) = 2 hati - 4hatj +6 hatk and vec(B) = 3 hati + hatj +2hatk .

What is the anlge between a vector vec A = 4 hati+3hatj+5hatk and the x-axis ?

The vector vec c , directed along the internal bisector of the angle between the vectors vec a = 7 hati - 4 hatj - 4hatk and vecb = -2hati - hatj + 2 hatk " with " |vec c| = 5 sqrt(6), is

Determine the vector which when added to the resultant of vec(A) =2hati - 4hatj - 6hatk and vec(B) = 4hati +3hatj + 3hatk gives the unit vector along z-axis.

The angle made by the vector 4hati - 3hatj + 5hatk with z-axis is :

SL ARORA-Motion in a Plane-Example
  1. If |vec A + vec B|=|vec A-vecB|, finf the angle between vec A and vec ...

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  2. If vector P, Q and R have magnitude 5,12,and 13 units and vec(P)+vec(Q...

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  3. Determine the angles which the vector vec(A) = 5 hati + 0 hatj +5hat...

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  4. If unit vectors hat(a) and hat(b) are inclined at angle theta, then pr...

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  5. If vec(A) +vec(B) = vec(C) and A^(2) +B^(2) = C^(2), then prove that v...

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  6. Motion in two dimensions, in a plane can be studied by expressing posi...

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  7. Prove that the vectors vec(A) = 2hati - 3hatj - hatk and vec(B) =- 6 h...

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  8. Calculate the area of a paralleleogram whose two adjacent sides are fo...

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

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

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

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

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

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

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

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

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

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

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

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

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