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NCERT Class 12 Mathematics Chapters
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1.
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The magnitude of the vector
 is(a) 1 (b) 5 (c) 7 (d) 12
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2.
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A unit vector along the vector
 is :(a)
 (b)  (c)  (d)  |
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3.
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Two vectors
 =  and  =  are collinear if(a) a1b1 + a2b2 + a3b3 = 0 (b)
 (c) a1 = b1, a2 = b2, a3 = b3 (d) a1 + a2 + a3 = b1 + b2 + b3
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4.
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If in Δ𝐴𝐵𝐶,
 = 2 and  =3 , then  is(a) 2
 + 3 (b) 2 − 3 (c) 3 − 2 (d) −2 − 3 |
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5.
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ABCD is a rhombus whose diagonals intersect at E. Then
 equals(a)
 (b)  (c)  (d)  |
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1.
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Find all the vectors of magnitude 3√3 which are collinear to vector
 . |
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2.
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In a parallelogram PQRS,
 =  and  =  Find |
 | and | |. |
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3.
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Position vectors of the points A, B and C as shown in the figure below are
 respectively. If
 = , express  in terms of  and  . |
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4.
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Find all the possible vectors of magnitude 5√3 which are equally inclined to the coordinate axes.
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5.
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Using vectors, prove that the points (2, – 1, 3), (3, – 5, 1) and (– 1, 11, 9) are collinear.
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Chapter Name
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Sub Topic Name
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Vector Algebra
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10.1 Introduction to Vectors
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10.2 Representation of Vectors
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10.3 Addition and Subtraction of Vectors
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10.4 Scalar Multiplication of Vectors
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10.5 Scalar Product of Vectors
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10.6 Vector Product of Vectors
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10.7 Applications of Vector Algebra in Geometry
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