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For what value of a are overset rarr A =...

For what value of a are `overset rarr A = a hat i - 2 hat j + hat k ` and ` overset rarr B = 2 a hat i - a hat j - 4 hat k` perpendicular.

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Three vectors overset rarr A = a hat i + hat j + hat k , overset rarr B = hat i + b hat j + hat k and overset rarr C = hat i + hat j + c hat k are mutually perpendicular .The respective values of a,b and c are

Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j- lambda hat k and vec b= 2 hat i- hat j+ hat k are perpendicular to each other.

If overset rarr A = hat i - 2 hat j + 3 hat kk .Find the direction cosines of overset rarr A .

Find the values of x,y and z so that the vectors vec a= x hat i + 2 hat j + z hat k and vec b = 2 hat I + y hat j+ hat k are equal.

Find the area of the parallelogram whose diagonals are a = 3 hat i + hat j - 2 hat k and hat b = hat i - 3 hat j + 4 hat k .

Find the values of x, y and z so that the vectors vec a = x hat i+2 hat j + z hat k and hat b = 2 hat i + y hat j + hat k are equal.

Find p if the vectors 2 hat i +3 hat j + 6 hat k and p hat i+2 hat j-3 hat k are perpendicular.

What is the angle made by vector overset rarr A = hat i + 2 hat j with x-axis?

Prove that the vectors 2 hat i- hat j+ hat k , hat i- 3 hat j- 5 hat k and 3 hat i- 4 hat j- 4 hat k are coplanar.

JBD PUBLICATION-KINEMATICS-EXAMPLE
  1. Can two non -zero vectors give zero resultant when they cross-multiply...

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  2. If overset rarr A,overset rarr B and overset rarr C are mutually perp...

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  3. For what value of a are overset rarr A = a hat i - 2 hat j + hat k an...

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  4. Explain addition of vectors using graphical method.

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  5. State, for each of the following physical quantities, if it is a scala...

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  6. Can three vector not in one plane give a zero resultant?Can four vecto...

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  7. Can a vectro be zero if its components is not zero?

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  8. Is it necessary to mention the direction of a vector having zero magni...

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  9. What is the component method for adding vector?

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  10. An object originally at the opint (2,5,1) m is given a displacement 8 ...

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  11. Three vectors overset rarr P,overset rarr Q and overset rarr R satisfy...

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  12. Calculate the angle between 2 newton and a 3 newton force so that thei...

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  13. At what angles do the two fores (overset rarr P + overset rarr Q ) adn...

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  14. Two forces of 6 N and 8 N act at a point at an angle 90^@ with each ot...

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  15. A skilled gunman always keeps his gun tilted above the line of sight w...

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  16. At what points on the projectile trajectory is the speed minimum

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  17. At what point of trajectory an object thrown upward is the acceleratio...

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  18. A tennis ball jumps higher at hills than at planes. Explain.

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  19. Explain that a uniform circular motion is an accelerated motion.

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  20. A body is projected horizontally from the to of a cliff with a velcity...

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