NCERT Solutions Class 12 Mathematics Chapter 10 Download In Pdf

Chapter 10 Vector Algebra Download in pdf

**Question 1.** Represent graphically a displacement of 40 km, 30Â° east of north.

**Question** 2. Classify the following measures as scalars and vectors.

(i) 10 kg

(ii) 2 meters north-west

(iii) 40Â°
(iv) 40 watt

(v) 10â€“19 coulomb

(vi) 20 m/s2

**Question 3.** Classify the following as scalar and vector quantities.

(i) time period

(ii) distance

(iii) force

(iv) velocity

(v) work done

**Question 4.** In Fig 10.6 (a square), identify the following vectors.

(i) Coinitial

(ii) Equal

(iii) Collinear but not equal

**Question 5.** Answer the following as true or false.

(i) a
and âˆ’a are collin
ear.

(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.

**Question 2.** Write two different vectors having same magnitude.

**Question 3. **Write two different vectors having same direction.

**Question 4. **Find the values of x and y so that the vectors 2iË† + 3 Ë†j and xiË† + yË†j are equal.

**Question 5. **Find the scalar and vector components of the vector with initial point (2, 1) and
terminal point (â€“ 5, 7).

**Question 6.** Find the sum of the vectors a = iË† âˆ’ 2 Ë†j + kË†, b = âˆ’2iË† + 4 Ë†j + 5kË† and cï¿½ = iË† âˆ’ 6 Ë†j â€“ 7kË† .

**Question 7.** Find the unit vector in the direction of the vector a = iË† + Ë†j + 2kË† .

**Question 8. **Find the unit vector in the direction of vector PQ,
where P and Q are the points
(1, 2, 3) and (4, 5, 6), respectively.

**Question 9.** For given vectors, a = 2iË† âˆ’ Ë†j + 2kË† and b = âˆ’iË† + Ë†j âˆ’ kË† , find the unit vector in the
direction of the vector a + b .

**Question 10. **Find a vector in the direction of vector 5iË† âˆ’ Ë†j + 2kË† which has magnitude 8 units.

**Question 11.** Show that the vectors 2iË† âˆ’ 3 Ë†j + 4kË† and âˆ’ 4iË† + 6 Ë†j âˆ’ 8kË† are collinear.
12. Find the direction cosines of the vector iË† + 2 Ë†j + 3kË† .

**Question 13.** Find the direction cosines of the vector joining the points A(1, 2, â€“3) and
B(â€“1, â€“2, 1), directed from A to B .

**Question 14.** Show that the vector iË† + Ë†j + kË† is equally inclined to the axes OX, OY and OZ.

**Question 15.** Find the position vector of a point R which divides the line joining two points P
and Q whose position vectors are iË† + 2 Ë†j âˆ’ kË† and â€“ iË† + Ë†j + kË† respectively, in the
ratio 2 : 1

(i) internally

(ii) externally

Please send your queries to ncerthelp@gmail.com you can aslo visit our facebook page to get quick help. Link of our facebook page is given in sidebar

- Chapter 1 Relations and Functions
- Chapter 2 Inverse Trigonometric Functions
- Chapter 3 Matrices
- Chapter 4 Determinants
- Chapter 5 Continuity and Differentiability
- Chapter 6 Application of Derivatives
- Chapter 7 Integral
- Chapter 8 Application of Integrals
- Chapter 9 Differential Equations
- Chapter 10 Vector Algebra
- Chapter 11 Three Dimensional Geometry
- Chapter 12 Linear Programming
- Chapter 13 Probability

- NCERT Solutions for Class 9 Science Maths Hindi English Math
- NCERT Solutions for Class 10 Maths Science English Hindi SST
- Class 11 Maths Ncert Solutions Biology Chemistry English Physics
- Class 12 Maths Ncert Solutions Chemistry Biology Physics pdf

- Class 1 Model Test Papers Download in pdf
- Class 5 Model Test Papers Download in pdf
- Class 6 Model Test Papers Download in pdf
- Class 7 Model Test Papers Download in pdf
- Class 8 Model Test Papers Download in pdf
- Class 9 Model Test Papers Download in pdf
- Class 10 Model Test Papers Download in pdf
- Class 11 Model Test Papers Download in pdf
- Class 12 Model Test Papers Download in pdf

Copyright @ ncerthelp.com A free educational website for CBSE, ICSE and UP board.