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# Vector Algebra

At Saralstudy, we are providing you with the solution of Class 12th mathematics Vector Algebra according to the latest NCERT (CBSE) Book guidelines prepared by expert teachers. Here we are trying to give you a detailed answer to the questions of the entire topic of this chapter so that you can get more marks in your examinations by preparing the answers based on this lesson. We are trying our best to give you detailed answers to all the questions of all the topics of Class 12th mathematics Vector Algebra so that you can prepare for the exam according to your own pace and your speed.

Quantities which have only magnitude are called scalars. But quantities that involve magnitude and direction are called vectors. Discussion will be on algebra of vectors. Topics which covered in this chapter - vectors, scalars, direction cosines and direction ratios of a vector, Types of vectors, position vector of a point , negative of a vector, addition of vectors, multiplication of a vector by a scalar, dot and cross products, scalar triple product of vectors.

Download pdf of NCERT Solutions for Class mathematics Chapter 10 Vector Algebra

Download pdf of NCERT Examplar with Solutions for Class mathematics Chapter 10 Vector Algebra ### Exercise 1

•  Q1 Represent graphically a displacement of 40 km, 30° east of north. Q2 Classify the following measures as scalars and vectors. (i) 10 kg (ii) 2 metres north-west (iii) 40° (iv) 40 watt (v) 10–19 coulomb (vi) 20 m/s2 Q3 Classify the following as scalar and vector quantities. (i) time period (ii) distance (iii) force (iv) velocity (v) work done Q4 In Figure, identify the following vectors. (i) Coinitial (ii) Equal (iii) Collinear but not equal Q5 Answer the following as true or false.  \begin{align}(i) \overrightarrow{a}\;  and\; \overrightarrow{-a}\; are\; collinear.\end{align} (ii) Two collinear vectors are always equal in magnitude. (iii) Two vectors having same magnitude are collinear. (iv) Two collinear vectors having the same magnitude are equal.

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