JEE Questions for Maths Vector Algebra Quiz 6

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None of these

Let α, β, γ be three distinct real numbers. The points with position vectors. Let A,B,C be the given pts.
Maths-Vector Algebra-58994.png

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are collinear
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form an equilateral triangle
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form a scalene triangle
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form a right angled triangle

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2)
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9p = 4q
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4p = 9q

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0
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2)
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10
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25

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2)
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None of these

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2)
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0%

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2)
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0%

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A,B and C
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A,C and D
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A,B and D
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B,C and D

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collinear
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perpendicular to each other
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inclined at an acute angle
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inclined at an obtuse angle

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300 and 1500
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45° and 135°
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60° and 120°
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90° and 90°.

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2)
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2)
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None of these

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A tetrahedron has vertices at O (0, 0, 0), A (1, 2, 1), B (2, 1,and C (–1, 1, 2). Then the angle between the faces OAB and ABC will be

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2)
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30o
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90o

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(–2,3,0)
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(2,–3,1)
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(2,–3,0)
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None of these

The points D, E, F divide BC, CA, AB of triangle ABC in the ratio 1 : 4, 3 : 2 and 3 : 7respectively and the point K divides AB in the ratio 1 : 3.
Maths-Vector Algebra-59054.png

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None of these

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A, B, C, D are four points on a plane with position vectors respectively such that
Maths-Vector Algebra-59065.png

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Incentre
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orthocentre
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centroid
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None of these

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2)
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None of these

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2)
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None of these

Given a cube ABCD, A₁B₁C₁D₁ with lower base ABCD, upper base A₁B₁C₁D₁ and the lateral edges AA₁, BB₁, CC₁ and DD₁; M and M₁ are the centres of the faces ABCD and A₁B₁C₁D₁ respectively. O is a point on line MM₁, such that
Maths-Vector Algebra-59077.png