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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