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JEE Questions for Maths Vector Algebra Quiz 14 - MCQExams.com
JEE
Maths
Vector Algebra
Quiz 14
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Explanation
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A tetrahedron has vertices at 0(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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The projections ola vector on the three coordinate axis are 6, —3, 2 respectively. the direclion cosines of the vector arc
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(0, I,
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(1, 3, 4)
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(—1, 3, 4)
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Lie on the plane
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Are on the same side of the plane
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Are on the opposite side of the plane
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None of the above
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9 : 1
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1 : 9
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-1 : 9
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-9 : 1
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1 Unit
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13/3 Unit
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13 unit
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Circle
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Plane
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Sphere of radius 4
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Sphere of radius 3
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It is obvious
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4
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3
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Explanation
It is obvious
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160
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80
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120
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An equation of the plane through the points (1, 0, and (0,2,and at a distance 6/7 units from the origin is
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-4
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2
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4
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Parallelogram, which is neither a rhombus nor a rectangle
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Square
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Rectangle, but not a square
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Rhombus, but not a square
The vector equation of the line passing through the points (3, 2,and (—2, 1,is
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2, —3, 4
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6, 4, 3
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6, — 4, 3
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(4, 3, 1)
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(1, 3, 4)
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(–4, 1, –3)
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(–4, 1,
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1:2
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3:2
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2:3
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1:3
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