Section Formula
Trending Questions
Q. The ratio in which ^i+2^j+3^k divides the join of −2^i+3^j+5^k and 7^i−^k is
- -3 : 2
- 1 : 2
- 2 : 3
- -4 : 3
Q. A, B have position vectors →a, →b relative to the origin O and X, Y divide −−→AB internally and externally respectively in the ratio 2 : 1. Then, −−→XY is equal to
- 56(→b−→a)
- 43(→b−→a)
- 32(→b−→a)
- 43(→a−→b)
Q. Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin, then −−→OA+−−→OB+−−→OC+−−→OD equals
- 2−−→OP
- −−→OA
- 3−−→OP
- 4−−→OP
Q. 7→a−→c divides the join of points given by the position vectors →a+2→b+3→c and −2→a+3→b+5→c in the ratio
- 2:3, internally
- 3:1, externally
- 3:2, externally
- Does not divide at all
Q. If the ratio in which the XY plane divides the line joining the points (2, 4, 5) and (–4, 3, –2) is k: 1, then find the value of 10k
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Q. If →a and →b are the position vectors of points A and B respectively, find the position vector of point C on AB produced such that →AC=3→AB
Q. The position vector of the point which divides the join of points given by position vectors 2→a−3→b and 3→a−2→b internally in the ratio 2:3 is
- None of the above
Q. The coordinates of the point which divides the line segment joining the points (1, –2, 3) and (3, 4, –5) internally in the ratio 2:3 is (x, y, z). Find the value of x+y+z
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Q. If →b is a vector whose initial point divides the join of 5^i and 5^j in the ratio k:1 and whose terminal point is the origin and |→b|≤√37, then k lies in the interval
- (−∞, −6)∪[−16, ∞)
- None of these
- [0, 6]
- [−6, −16]
Q. If the vectors −−→AB=3^i+4^k and −−→AC=5^i−2^j+4^k are the sides of a triangle ABC, then the length of the median through A is :
- √18
- √72
- √33
- √45
