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ABCD is a parallelogram and AC, BD are i...

ABCD is a parallelogram and AC, BD are its diagonals. Show that : `vec(AC)+vec(BD)=2vec(BC),vec(AC)-vec(BD)=2vec(AB)`.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

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

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

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

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

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

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

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

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

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

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

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

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  13. ABCD is a quadrilateral and O is point in its plane. Show that if vec ...

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  14. ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [C...

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  15. Evaluate int dx/(3x^2+6x+5)

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  16. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

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  17. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

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  18. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

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  19. Find the component of vector vec PQ where: P(2,3), Q(5,-3). Also, fi...

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  20. Find the component of vector vec PQ where: P(-1,-3), Q(4,5).Also, fi...

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