[Solved] If A=2i+3j+4k and B=4i+3j+2k find A×B. - Concepts of Physics

Given: A=2i^+3j^+4k^ andB=4i^+3j^+2k^The vector product of A×B can be obtained as follows:A×B=∣∣i^24j^33k^42∣∣=i^(6−12)−j^(4−16)+k^(6−12)=i^(6−12)−j^(4−16)+k^(6−12)

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

Concepts of Physics

Physics and Mathematics

If {A} = 2 {i} + 3 {j} + 4 {k} { and } {B} = 4 {i} + 3 {j} +

Concepts of Physics

Class 11

HC Verma Part I

Chapter 1: Introduction to Physics

35 questions

Chapter 2: Physics and Mathematics

60 questions

Prove that

A . (A \times B) = 0

A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k

find

A \times B

A, B, C

are mutually perpendicular, show that

C \times (A \times B) = 0

.
Is the converse true?

View all question

Chapter 3: Rest and Motion: Kinematics

88 questions

Chapter 4: The Forces

33 questions

Chapter 5: Newton's Law of Motion

82 questions

Chapter 6: Friction

57 questions

Chapter 7: Circular Motion

63 questions

Chapter 8: Work and Energy

101 questions

Chapter 9: Centre of Mass, Linear momentum Collision

119 questions

Chapter 10: Rotational Mechanics

149 questions

Chapter 11: Gravitation

80 questions

Chapter 12: Simple Harmonic Motion

111 questions

Chapter 13: Fluid Mechanics

81 questions

Chapter 14: Some Mechanical Properties of Matter

87 questions

Chapter 15: Wave Motion and Waves on a String

96 questions

Chapter 16: Sound Waves

118 questions

Chapter 17: Light Waves

79 questions

Chapter 18: Geometrical optics

123 questions

Chapter 19: Optical Instruments

52 questions

Chapter 20: Dispersion and Spectra

27 questions

Chapter 21: Speed of Light

14 questions

Chapter 22: Photometry

38 questions

Question

Medium

Solving time: 5 mins

If $A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k$ find $A \times B$ .

Views: 6,178 students

Updated on: Sep 14, 2022

Book:

Concepts of Physics (HC Verma Part I)

Found 6 tutors discussing this question

Eleanor Discussed

A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k

find

A \times B

5 mins ago

Discuss this question LIVE

5 mins ago

Text solutionVerified

Given:

A = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}

and

B = 4 \hat{i} + 3 \hat{j} + 2 \hat{k}

The vector product of

A \times B

can be obtained as follows:

A \times B = ∣ ∣ \hat{i} 24 \hat{j} 33 \hat{k} 42 ∣ ∣

= \hat{i} (6 - 12) - \hat{j} (4 - 16) + \hat{k} (6 - 12)

= \hat{i} (6 - 12) - \hat{j} (4 - 16) + \hat{k} (6 - 12)

Was this solution helpful?

364

Report

Filo tutor solutions (5)

Learn from their 1-to-1 discussion with Filo tutors.

2 mins

Uploaded on: 9/14/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Tarun Kumar Gupta

Total classes on Filo by this tutor - 4,497

Teaches : Physics

Connect instantly with this tutor

Connect now

Notes from this class (3 pages)

Download

Was this solution helpful?

123

Report

1 mins

Uploaded on: 8/13/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Roshan Kumar

Total classes on Filo by this tutor - 15,574

Teaches : Physics, Mathematics, Science

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

146

Report

1 mins

Uploaded on: 2/23/2022

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Taught by

Vishnu

Total classes on Filo by this tutor - 5,477

Teaches : Physics, Mathematics

Connect instantly with this tutor

Connect now

Notes from this class (1 pages)

Download

Was this solution helpful?

Report

See more 1-on-1 discussions (2)

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our Physics tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If $A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k$ find $A \times B$ .
Updated On	Sep 14, 2022
Topic	Physical World
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 5
Upvotes	895
Avg. Video Duration	2 min

If $A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k$ find $A \times B$ .

Text solutionVerified

Filo tutor solutions (5)

Practice questions from Concepts of Physics (HC Verma Part I)

Practice more questions from Physical World

Practice questions on similar concepts asked by Filo students

If A=2i+3j​+4k and B=4i+3j​+2k find A×B.

Text solutionVerified

Filo tutor solutions (5)

Practice questions from Concepts of Physics (HC Verma Part I)

Practice more questions from Physical World

Practice questions on similar concepts asked by Filo students

Related books for questions on Physical World

If $A = 2 i + 3 j + 4 k and B = 4 i + 3 j + 2 k$ find $A \times B$ .