NCERT Solutions Class 12 Maths Chapter 10 Vector Algebra Video Solutions

		Introduction and definitions of vector algebra Vectors Zero definitions vectors Unit vectors A quantity that has magnitude as well as direction
		Definitoon of vector quantities, Example of vector quantities
		coinitial vectors definition
		Collinear Vectors : Two or more vectors are said to be collinear
		Equal Vectors Two vectors a and b are said to be equal,
		Graphical representation of vectors
		correction in graphical representation
		Exercise 10.1 1. Represent graphically a displacement of 40 km, 30° east of north. 2. Classify the following measures as scalars and vectors. (i) 10 kg (ii) 2 meters north-west (iii) 40° (iv) 40 watt (v) 10 –19 coulomb (vi) 20 m/s 3. Classify the following as scalar and vector quantities. (i) time period (ii) distance (iii) force (iv) velocity (v) work done 4. In Fig 10.6 (a square), identify the following vectors. (i) Coinitial (ii) Equal (iii) Collinear but not equal 5. Answer the following as true or false.(i) a and a are collinear. (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. Watch video Solution
		Formulas and definitions for Exercise 10.2 triangle law of vector addition
		parallelogram law of vector addition
		components of a vector
		equation of vector joining two points
		section formula of vectors
		How to claculate unit vector
		How to determine direction ratio of a vector
		what is direction cosine of the vector Exercise 10.2 Questions
1-3		Compute the magnitude of vectors a = i + j + k , two different vector having same magnitide
4		Find the values of x and y so that the vectors 2i + 3j and xi + yj are equal
6		Find the sum of the vectors and unit vector in the direction of the vector
8		Find the unit vector in the direction of PQ vector where P and Q are the points 1, 2, 3 and 4, 5, 6,
9		For given vectors, a = 2i – j + 2k and b = i + j – k, find the unit vector in the direction of the
10		Find a vector in the direction of vector 5i – j + 2k which has magnitude 8 units
11		Show that the vectors 2i – 3j + 4k and – 4i + 6j – 8k are collinear
12		Find the direction cosines of the vector i + 2j + 3k
13		Find the direction cosines of the vector joining the points A(1, 2, –3) and B(–1, –2, 1)
14		Show that the vector i + j + k is equally inclined to the axes OX, OY and OZ
15		Find the position vector of a point R which divides the line joining two points P and Q whose posi
17		Show that the points A, B and C with position vectors a = 3i – 4j – 4k,b = 2i –j +k and c = i – j –
18		In triangle ABC which of the following is not true If a and b are two collinear vectors, then
		Definitions and furmas used in Exercise 10.4 cross pruduct all formulas and definitions with explanations
1		cross product examples how to find cross product of two vectors
2		Find a unit vector perpendicular to each of the vector a –b and a+ b where a = 3i + 2j +2k and
3		ncert solution for class 12 vector algebra q 3 remaining part
4		ncert solutions for 11 maths chapter 10 vector algebra Exercise 10.4 Question 4 and 5
6		Given that a b=0 and a × b = 0 What can you conclude about the vectors a and b
8		Show that a×(b + c) = a×b + a×c. Ncert solution for class 12 math Misscellaneous Exercise Chapter 10
3		A girl walks 4 km towards west, then she walks 3 km in a direction 30° east of north and stops Dete
4		If a+ b + c = 0, then is it true that a=b+c Justify your answer
5		Find the value of x for which x(i + j + k) is a unit vector
6		Find a vector of magnitude 5 units, and parallel to the resultant of the vectors a = 2i 3j –k and b
7		If a = i + j + k , b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel to the vector
8		Show that the points A, B and C are collinear, and find the ratio in which B divides AC.
9		Find the position vector of a point R which divides the line joining two points P and Q whose position ve
9 cont		ncert solutions for class 12 chapter 10 vector algebra miscellaneous exercise Question 9
11		Show that the direction cosines of a vector equally inclined to the axes OX, OY and OZ are
12		Find a vector d which is perpendicular to both a and b and c.d = 15
13		ncert solutions for class 12 chapter 10 vector algebra miscellaneous exercise Question 13
14		ncert solution for class 12 maths chapter 10 Q 14 first part
14- cont		If a, b ,c are mutually perpendicular vectors of equal magnitudes, show that the vector a+ b + c is
15		Prove that (a+b).(a-b) = \|a\|^2 + \|b\|^2, if and only if a, b are perpendicular, given a≠0, b≠0.
16-19		Objective question of maths vector algebra class 12 ncert cbse board