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Find the components of vector vec(a)=3ha...

Find the components of vector `vec(a)=3hat(i)+4hat(j)` along the direction of vectors `hat(i)+hat(j)` & `hat(i)-hat(j)`

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hat(i) and hat(j) are unit vectors along x-and y-axes respectively. What is the magnitude and the direction of the vectors hat(i)+hat(j) and hat(i)-hat(j) ? What are the components of a vector vec(A)=2hat(i)+3hat(j) along the direction hat(i)+hat(j) and hat(i)-hat(j) ?

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SL ARORA-Motion in a Plane-Excercise
  1. A particle starts from the origin at t=0 with a velocity of 10.0 hat...

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  2. If hati andhatj are unit vectors along X- and Y-axis respectively, th...

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  3. Find the components of vector vec(a)=3hat(i)+4hat(j) along the directi...

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  4. DISPLACEMENT VECTOR

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  5. A Body moves 6m north, 8m east and 10m vertically upwards, what is its...

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  6. If vec A = vec B+ vec C and the values of vec A, vec B and vec C are 1...

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  7. If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R|, then angle b...

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  8. The square of resultant of two equal forces is three times their produ...

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  9. Let the angle between two non-zero vectors vec(A) and vec(B) be 120^(...

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  10. The three initial and final position of a man on the X-axis are given ...

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  11. A bird flies from (-3 m,4 m,-3 m ) to (7 m, -2 m, -3 m) in XYZ co-ordi...

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  12. If a unit vector is represented by 0.5 hat(i) + 0.8 hat(j) + c hat(k) ...

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  13. Two vectors are perpendicular if

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  14. The angle between the two vectors A= 5 hat i +5 hat j, and B = 5 hat ...

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  15. When vecA.vecB=-|vecA||vecB|, then :-

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  16. The position vector of a point is R =x hat i +y hat j + z hat kand ano...

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  17. For vectors vec(A) and vec(B) making an angle theta which one of the f...

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  18. A vector vec A points vertically upward and vec B points towards. What...

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  19. If vectors 2i-j+k,i+2j-3k and 3i+mj+5k are coplaner, then m is a root ...

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  20. Which of the following is correct relation between an arbitrary vector...

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