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Concepts of Physics

Physics and Mathematics

Let {A} { and } {B} be the two vectors of magnitude 10 unit e

Concepts of Physics

Class 11

HC Verma Part I

Chapter 1: Introduction to Physics

35 questions

Chapter 2: Physics and Mathematics

60 questions

A vector

A

makes an angle of 20° and

B

makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.

Let

A and B

be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

Add vectors

A, B and C

each having magnitude of 100 unit and inclined to the X-axis at angles 45°, 135° and 315° respectively.

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Question

Easy

Solving time: 3 mins

Let $A and B$ be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

Views: 6,507 students

Updated on: Aug 19, 2022

Book:

Concepts of Physics (HC Verma Part I)

Found 8 tutors discussing this question

Samuel Discussed

Let

A and B

be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

Angle between

A and B

, θ = 60° − 30° = 30°

∣ ∣ A ∣ ∣ = ∣ ∣ B ∣ ∣ = 10 units

The magnitude of the resultant vector is given by

R = A^{2} + A^{2} + 2 AA cos θ

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

Let β be the angle between

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

= 200 + 100

= 10^{2} + 10^{2} + 2 \times 10 \times 10 \times cos 3 0^{\circ}

= 200 + 100

= 200 + 100

Angle made by the resultant vector with the X-axis = 15° + 30° = 45°∴ The magnitude of the resultant vector is 17.3 and it makes angle of 45° with the X-axis.

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Question Text	Let $A and B$ be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.
Updated On	Aug 19, 2022
Topic	Physical World
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 15
Upvotes	1750
Avg. Video Duration	7 min

Let $A and B$ be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

Text solutionVerified

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Let A and B be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.

Text solutionVerified

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Let $A and B$ be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angle 30° and 60° respectively, find the resultant.