NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra — Exercise 10.4

ncert class 12 maths chapter 10 Vector Algebra

Question 1:Find ˆˆ ˆˆ ˆ ˆ | |, if 7 7 and 3 2 2 ab a i j k b i j k .

exercise 10.4 maths class 12 Chapter 10 Vector Algebra

Question 2:Find a unit vector perpendicular to each of the vector ab ab and , where ˆˆ ˆˆ ˆ ˆ a i j k bi j k 3 2 2 and 2 2 .

cbse class 12 maths ncert solutions Chapter 10

Question 3:If a unit vector a makes angles with , with ˆ ˆ 3 4 i j and an acute angle with ˆk , then find and hence, the components of a .

Class 12 maths solutions Vector Algebra

Question 4:Show that ( )( ) ab ab = 2( ) a b

ncert class 12 chemistry chapter 10 exercise solutions

Question 5:Find and ➭ if ˆ ˆ ˆˆ ˆ ˆ (2 6 27 ) ( ) 0 i j kijk .

Vector Algebra Class 12 ncert solutions

Question 6:Given that a b✓ ✔ 0 and a b ✔ 0 . What can you conclude about the vectors a b and ?

Question 7:Let the vectors ab c , , be given as 1 2 31 2 3 ˆˆ ˆˆ ˆ ˆ ai a j a k bi b j bk , , 12 3 ˆ ˆ ˆ ci c j c k . Then show that a b c ab ac ( ) .

Exercise 10.4 class 12 Math ncert solutions Chapter 10

Question 8:If either a b 0 or 0, ✕ ✕ ✕ ✕ then a b ✔ 0 . Is the converse true? Justify your answer with an example.

1. Find | |, if 7 7 and 3 2 2 ab a i j

Question 9:Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1,5,5)

class 12 maths ncert solution pdf download Chapter 10

Question 10:Find the area of the parallelogram whose adjacent sides are determined by the vectors ˆ ˆ ˆ ai j k 3 and ˆ ˆ ˆ b i jk 2 7 .

Vector Algebra Math ncert solution class 12

Question 11:Let the vectors a b and be such that 2 | | 3 and | | 3 a b , then a b is a unit vector, if the angle between a b and is (A) /6 (B) /4 (C) /3 (D) /2

Question 12:Area of a rectangle having vertices A, B, C and D with position vectors 1 1 ˆˆ ˆˆ ˆ ˆ – 4, 4 2 2 i j ki j k , 1 ˆ ˆ ˆ 4 2 i jk and 1 ˆ ˆ ˆ – 4 2 i jk , respectively is (A) 1 2 (B) 1 (C) 2 (D) 4