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If vec a = hat i + hat j+ 2hat k and vec...

If `vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k`, find `vec a - 2vec b`.

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If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find 2 vec a- vec b .

If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k , find vec a + vec b .

If vec a = 5hat i - hat j- 2hat k and vec b =5 hat i+ hat j - 2 hat k , find 3vec a - vec b .

If vec a = 6hat i - hat j+ 2hat k and vec b =hat i- 3hat j - 2 hat k , find vec a - vec b .

If vec a = 2hat i - hat j+ 3hat k and vec b =4 hat i+ hat j - 3 hat k , find vec a + vec b .

If vec a = 2hat i -3 hat j+ 3hat k and vec b =3 hat i- hat j - 4 hat k , find vec a + vec b .

If vec a= 2 hat i+ hat j + 3 hat k and vec b= 3 hat i+ 5 hat j- 2 hat k , find | vec a * vec b |.

If vec a= 2 hat i+ hat j- hat k , vec b= -hat i+ 2 hat j- 4 hat k and vec c= hat i+ hat j+ hat k , find (vec a * vec b)* (vec a* vec c) .

If vec a = -2hat i -2 hat j + 4 hat k, vec b=-2 hat i +4 hat j- 2 hat k and vec c = 4hat i -2 hat j -2hat k . prove that vec a, vec b, vec c are coplanar

Define the vector product of two vectors vec a and vec b . If vec a = 2 hat i- hat j+ hat k and vec c= 2 hat i+ 3 hat j , then find (vec a+ vec b)* vec c and vec a* (vec b+ vec c) .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If the position vector of a point A is vec a + 2 vec b and vec a divi...

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  2. If ABC is triangle and D is the mid-point of [BC], prove that vec AB +...

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  3. If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k, ...

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  4. If vec a = 5hat i - hat j- 2hat k and vec b =5 hat i+ hat j - 2 hat k,...

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  5. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then show...

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  6. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then give...

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  7. ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(...

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  8. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

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  9. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

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  10. Evaluate int dx/(x^2+10x+34)

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  11. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

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  12. Apply vectors to prove that if a pair of opposite sides of quadrilater...

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  13. P is a point on the side BC of DeltaABC and Q is a point such that PQ ...

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  14. Evaluate int dx/(x^2+8x+25)

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  15. If vec a is a vectors of magnitude 3 pointing eastwards and vec b is v...

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  16. Evaluate int dx/(x^2+12x+37)

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  17. integrate the following int dx/(x^2+10x+16)

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  18. integrate the following int dx/(x^2+8x+12)

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  19. integrate the following int dx/sqrt(x^2+6x+13)

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  20. Show that the mid-points o ftwo opposite sides of quadilateral and the...

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