JEE Exam > JEE Questions > If |a|=2; |b|=3; |c|=6. angle between a, b an...
Start Learning for Free
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|?
Most Upvoted Answer
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each...
Solution:
Step 1: Finding the vector triple product a × b × c
We know that the vector triple product of a, b, and c is given by the formula:
a × b × c = (a · c) b - (a · b) c
where · represents the dot product.
Using this formula, we can find a × b × c as follows:
a × b × c = (a · c) b - (a · b) c
= (2 × 6) b - (2 × 3) c
= 12 b - 6 c
Step 2: Finding the magnitude of a × b × c
To find the magnitude of a × b × c, we can use the formula:
|a × b × c| = |12 b - 6 c|
= |12| |b| |sin(120)| - |6| |c| |sin(120)|
= 6√3 - 9√3
= -3√3
However, since magnitude is always positive, we take the absolute value of -3√3, which gives us:
|a × b × c| = 3√3
Therefore, the magnitude of the vector triple product a × b × c is 3√3.
Step 1: Finding the vector triple product a × b × c
We know that the vector triple product of a, b, and c is given by the formula:
a × b × c = (a · c) b - (a · b) c
where · represents the dot product.
Using this formula, we can find a × b × c as follows:
a × b × c = (a · c) b - (a · b) c
= (2 × 6) b - (2 × 3) c
= 12 b - 6 c
Step 2: Finding the magnitude of a × b × c
To find the magnitude of a × b × c, we can use the formula:
|a × b × c| = |12 b - 6 c|
= |12| |b| |sin(120)| - |6| |c| |sin(120)|
= 6√3 - 9√3
= -3√3
However, since magnitude is always positive, we take the absolute value of -3√3, which gives us:
|a × b × c| = 3√3
Therefore, the magnitude of the vector triple product a × b × c is 3√3.
Community Answer
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each...
|a+b+c|2 = |a|2 +|b|2 +|c|2 +2|a||b|.cos120 +2|b||c|.cos120 +2|a||c|.cos 120 =4+9+36-6-18-12 =49-36 =13 ,|a+b+c|=√13
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|?
Question Description
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|?.
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|?.
Solutions for If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? defined & explained in the simplest way possible. Besides giving the explanation of
If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|?, a detailed solution for If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? has been provided alongside types of If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? theory, EduRev gives you an
ample number of questions to practice If |a|=2; |b|=3; |c|=6. angle between a, b and c (vectors) is 120 each then find |a+b+c|? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup