A point C = (5a + 4b - 5c)/(3) divides t...

A point `C = (5a + 4b - 5c)/(3)` divides the line joining A = a - 2b + 3c and B in the ratio 2 : 1, then the poistion vector of B is

A

2a - 3b + 4c

B

2a + 3b - 4c

C

2a - 3b - 4c

D

none

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The correct Answer is:

B

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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1

If the position vectors of A, B are i + j + k and i + j - 4k repective...
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If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...
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A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...
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The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...
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If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...
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The ratio in which the line segment joining the points with position v...
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If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...
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If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...
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The position vectors of P and Q are respectively a and b. If R is a po...
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If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...
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If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...
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The position vector of a point lying on the line joining the points wh...
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In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...
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P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...
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The position vector of the centroid of the triangle formed by the poin...
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The position vector of the centroid of the triangle formed by the poin...
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If C is the midpoint of AB and P is any point outside AB, then
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If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...
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If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =
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If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...
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