RD Sharma Solutions for Class 12 Maths Chapter 24 Scalar or Dot Product Exercise 24.1 are available here. The solutions are well designed to help students understand the solving methodology of all kinds of problems. Further, various shortcut tips and practical examples are included to help students grasp the concepts quickly and enhance the process of learning to solve problems. The RD Sharma Solutions to this exercise can be accessed in PDF format, which can be downloaded at ease from the link given below.
RD Sharma Solution for Class 12 Maths Chapter 24 Exercise 1
Access Answers for Rd Sharma Solution Class 12 Maths Chapter 24 Exercise 1
Exercise 24.1
1.
(i) Solution:
Given,
Hence, the dot product is 19.
(ii) Solution:
Given,
Hence, the dot product is 2.
(iii) Solution:
Given,
Hence, the dot product is 5.
2.
(i) Solution:
Given,
λ (4) + 2 (-9) + 1 (2) = 0
4λ – 18 + 2 = 0
4λ – 16 = 0
4λ = 16
λ = 16/4
∴ λ = 4
(ii) Solution:
Given,
λ (5) + 2 (-9) + 1 (2) = 0
5λ – 18 + 2 = 0
5λ – 16 = 0
5λ = 16
∴ λ = 16/5
(iii) Solution:
Given,
2 (3) + 3 (2) + 4 (-λ) = 0
-4λ + 6 + 6 = 0
-4λ + 12 = 0
-4λ = -12
λ = -12/-4
∴ λ = 3
(iv) Solution:
λ (1) + 3 (-1) + 2 (3) = 0
λ – 3 + 6 = 0
λ + 3 = 0
∴ λ = -3
3. Solution:
Given,
= 6/(4 x 3)
= 6/12
= ½
θ = cos-1 (½)
∴ θ = π/3
4. Solution:
5.
(i) Solution:
Given,
(ii) Solution:
Given,
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