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If the position vectors of A, B are 2a +...

If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the position vector of midpoint of `bar(AB)` is

A

3a + b + 2c

B

3a - b + 2c

C

3a + b - 2c

D

3a - b - 2c

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A
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The linear relation between the vectors a + 3b + 4c, a - 2b + 3c, a + ...

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  2. The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...

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  3. If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the...

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  4. If the position vectors of A, B are i + j + k and i + j - 4k repective...

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  5. If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...

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  6. A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...

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  7. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  8. If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...

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  9. The ratio in which the line segment joining the points with position v...

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  10. If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...

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  11. If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...

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  12. The position vectors of P and Q are respectively a and b. If R is a po...

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  13. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

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  14. If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...

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  15. The position vector of a point lying on the line joining the points wh...

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  16. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

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  17. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

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  18. The position vector of the centroid of the triangle formed by the poin...

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  19. The position vector of the centroid of the triangle formed by the poin...

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  20. If C is the midpoint of AB and P is any point outside AB, then

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