Bisector of Angle between Two Vectors
Trending Questions
Q. If 4^i+7^j+8^k, 2^i+3^j+4^k and 2^i+5^j+7^k are the position vectors of the vertices A, B and C respectively of triangle ABC. The position vector of the point where the bisector of angle A meets BC is
- 23(−6^i−8^j−6^k)
- 23(6^i+8^j+6^k)
- 13(5^i+12^k)
- 13(6^i+13^j+18^k)
Q. If the vector −^i+^j−^k bisects the angle between the vector →c and the vector 3^i+4^j, then the unit vector in the direction of →c is
- 115(11^i+10^j−2^k)
- 115(11^i−10^j+2^k)
- −115(11^i+10^j−2^k)
- −115(11^i+10^j+2^k)
Q. The vector c directed along the internal bisector of the angle between the vectors a = 7^i − 4^j − 4^k and b = −2^i − ^j + 2^k with |c|=5√6, is
- 53(^i−7^j+2^k)
- 53(^i+7^j+2^k)
- 53(5^i+5^j+2^k)
- 53(−5^i+5^j+2^k)
Q. The vector →C, directed along the internal bisector of the angle between the vectors →a=7^i−4^j−4^k and →b=−2^i−^j+2^k with |→c|=5√6, is
- ±(53(^i−7^j+2^k)
- 53(^i−7^j+2^k)
- 53(−5^i−5^j+2^k)
- 53(5^i−5^j+2^k)
Q. The mid points of AB, BC, CA of a △ABC are (6, −1), (−4, −3), (2, −5) respectively. The centroid of △ABC
- (4, 1)
- (43, −3)
- (43, 3)
- (−43, 3)
Q. If 4^i+7^j+8^k, 2^i+3^j+4^k and 2^i+5^j+7^k are the position vectors of the vertices A, B and C respectively of triangle ABC. The position vector of the point where the bisector of angle A meets BC is
- 23(−6^i−8^j−6^k)
- 23(6^i+8^j+6^k)
- 13(6^i+13^j+18^k)
- 13(5^i+12^k)
Q. If z1, z2, z3, z4 be the vertices of a square in Argand plane, then :
- z2=(1−i)z1+(1+i)z3
- z2=(2−i)z1+(2+i)z3
- z2=(3−i)z1+(3+i)z3
- z2=(4−i)z1+(4+i)z3
