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Find the value of lambda so that the vec...

Find the value of `lambda` so that the vectors `vec(A) = 2hati + lambda hatj +hatk` and `vec(B) = 4hati - 2hatj - 2hatk` are perpendicular to each other.

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Find the value of lambda such that vectors veca = 2hati + lambda hatj + hatk and vecb = hati + 2hatj + 3hatk are orthogonal.

Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati - hatj are perpendicular to each other.

For what value of a are the vectors vec(A) = a hati - 2hatj +hatk and vec(B) = 2a hati +a hat j - 4hatk perpendicular to each other ?

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

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Prove that the vectors vec(A) = 4 hati +3hatj +hatk and vec(B) = 12 hati + 9 hatj +3 hatk are parallel to each other.

For what value of x , will the two vector A= 2hati + 2hatj -x hatk and B =2 hati - hatj - 3hatk are perpendicular to each other ?

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SL ARORA-VECTORS-Example
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  2. Prove that the vectors vec(A) = hati +2 hatj +3hatk and vec(B) = 2hati...

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  3. Find the value of lambda so that the vectors vec(A) = 2hati + lambda h...

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  4. If the magnitudes of two vectors are 3 and 4 and their scalar product ...

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  5. A body acted upon by a force of 50N is displaced through a distance of...

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  6. A body constrained to move along the z-axis of a co-ordinate system is...

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  7. A forc of 7hati + 6hatk newton makes a body move on a rough plane with...

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  8. Three vectors vec(A),vec(B) and vec(C) are such that vec(A) = vec(B)+v...

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  9. If |vec(A)+vec(B)| = |vec(A)-vec(B)|, find the angle between vec(A) an...

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

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

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  12. If hati and hatj are unit vectors along X-and Y-axis respective, then ...

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  13. Find the components of vec(a) = 2hati +3hatj along the direction of ve...

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

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

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  16. Calculate the area of the parallelogram whose two adjacent sides are f...

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

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  18. Determine a unit vecor perpendicular to both vec(A) = 2 hati +hatj +ha...

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  19. Find a vector whose length is 7 and which is perpendicular to each of ...

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  20. Determine the sine of the angle between the vectors 3 hati +hatj +2hat...

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