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A vector vec A is exparessed as vec A =...

A vector `vec A` is exparessed as ` vec A = A_(x) hat I + A_(y) hat j` where ` vec A and vec B` are its components along x-axis and y-axis respectively. If vector `vec A` makes an angle `theta` with x-axis, then `theta` is given by which expressinon ?

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SL ARORA-Motion in a Plane-Excercise
  1. Evaluate : hat k . hat k

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  2. Can two non-zero vectors give zero resultant when they multiply with e...

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  3. A vector vec A is exparessed as vec A = A(x) hat I + A(y) hat j where...

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  4. What is the value of vec A xx vec A ?

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  5. What is the angle between vec(A) and the esultant of (vec(A) + vec(B))...

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  6. If |vec A + vec B|= |vec A|+|vec B|, then what is the angle between ve...

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  7. Distinguish between position and displacement vectors.

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  8. Define (i) unit vector (ii) null vector (iii) cross product of two vec...

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  9. State and prove the commutative property of vector addition.

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  10. Give one example of dot product of vectors. Also give its unit

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  11. Find the work done in moving a particle along a vector vec S= (4 hat i...

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  12. The angle between vectors A and B is 60^circ. What is the ratio of vec...

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  13. Obtain an expression for the area of a triangle in terms of the cross ...

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  14. A projectile is fired with a velocity 'u' making an angle theta with t...

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  15. A projectile is projected with velocity u making angle theta with hori...

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  16. A projectile is projected with velocity u making angle theta with hori...

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  17. Show that there are two angles of projection for which the horizontal ...

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  18. The angle of projection at which the horizontal range and maximum heig...

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  19. A projectile is fired at an angle theta with the horizontal with veloc...

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  20. Galileo, in his book Two new sciences, stated that "for elevations whi...

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