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Evaluate : hat k . hat k...

Evaluate : `hat k . hat k`

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Evaluate hat i.(hat jxhat k)+hat j*(hat kxhat i)+hat k*(hat ixhat j)

Find the value of hat I .( hat j xx hat k) .

If the vectors hat i-hat j,hat j+hat k and vec a form a triangle,then vec a may be a.-hat k-hat k b.hat i-2hat j-hat k c.2hat i+hat j+hat k d.hat i+hat k

Find the angle between the plane hat r .( hat i - 2 hat j + 3 hat k )=5 and the line hat r = ( hat i + hat j -hat k ) + lambda ( hat i- hat j + hat k )

Write the value of [ hat i- hat j\ hat j- hat k\ hat k- hat i]

Find the area of the parallelogram whose diagonals are: 2hat i+hat k and hat i+hat j+hat k

Find the vector of length 3 unit which is perpendicular to hat i+hat j+hat k and lies in the plane of hat i+hat j+hat k and 2hat k-3hat j

Find the area of the parallelogram determined by the vectors: hat i-3hat j+hat k and hat i+hat j+hat k

Find the angle between the vectors vec A = hat I + 2 hat j- hat k and vec B =- hat I + hatj - 2 hat k .

Find the angul between two vectors A= 2 hat j + hat j - hat k and B=hat j - hat k and B = hati - hatk .

SL ARORA-Motion in a Plane-Excercise
  1. vec(A) is a vector with magnitude A, then the unit vector hat(A) in th...

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  2. Find a unit vector parallel to the vector 3 hat i +7 hat j + 4 hat k.

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  3. Evaluate : hat k . hat k

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

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

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

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

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

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  9. Distinguish between position and displacement vectors.

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

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

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

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

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

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

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

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

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

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

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

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