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JEE 2020 Mathematics: Vector-2 (09.08.2019)
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Question 1
Find the vector of magnitude 8 perpendicular to the vectors
Question 2
Let a, b, and c be three non-zero vectors which are pair wise non collinear. If a - 3b is collinear with c and b - c is collinear with a, then a - 3b + 3c is equal to
Question 3
The unit vector perpendicular to the vectors and forming a right handed system is
Question 4
In a trapezoid, the vector BC = v(AD), we will then find that P = AC + BD is collinear with AD. If P = u(AD), then
Question 5
If are unit vectors inclined at an angle to each other and . Then belongs to
Question 6
If the vectors a = are mutually orthogonal, then (v, u) is equal to
Question 7
If the points P(a + b – c), Q(2a + 3b) and R(b + tc) are collinear, where a, b, c are three coplanar vectors, then the value of t is
Question 8
If the position vectors of P, Q, R and S are respectively and PQ RS, then the value of u is
Question 9
If a and b are non-collinear vectors, then the value of for which the vectors u = ( + 2) a + 3b and v = (2 + )4a – b are collinear, is
Question 10
If are unit vectors satisfying then the angle between the vectors is
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Aug 9JEE & BITSAT