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Find a unit vector perpendicular to each of the vector ` - gt a+ - gt b` and ` - gt a- - gt b` w...

216 views · Published 21 July 2018 · 2:34 · Indexed 26 September 2026

Channel: Doubtnut · 2018 · Education

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Question From - NCERT Maths Class 12 Chapter 10 EXERCISE 10.4 Question – 2 VECTOR ALGEBRA CBSE, RBSE, UP, MP, BIHAR BOARD

QUESTION TEXT:-
Find a unit vector perpendicular to each of the vector ` - gt a+ - gt b` and ` - gt a- - gt b` where ` - gt a=3 hat i+2 hat j+2 hat k` and ` - gt b= hat i+2 hat j-2 hat k`

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Related Questions & Solutions:

1. Find `| - gt axx - gt b|` , if ` - gt a= hat i-7 hat j+7 hat k` and ` - gt b=3 hat i-2 hat j+2 hat k`...
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2. Find `lambda` and `mu` if `(2 hat i+6 hat j+27 hat k)xx( hat i+lambda hat j+mu hat k)= -&gt,0` ....
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3. Given that ` vec a vec b=0` and ` vec axx vec b= 0` . What can you conclude about the vectors ` vec a` and ` vec b` ....
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4. Let the vectors ` vec a , vec b , vec c` be given as `a_1 hat i+a_2 hat j+a_3 hat k , b_1 hat i+b_2 hat j+b_3 hat k , c_1 hat i+c_2 hat j+c_3 hat k` . Then show that ` vec axx( vec b+ vec c)=vec a xx ...
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5. If either ` vec a= 0` and ` vec b= 0` then ` vec a xx vec b= 0` . Is Is the converse true? Justify your answer with an example....
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Get Classwise & Chapterwise Definitions & Solutions from NCERT Book:

• NCERT Solutions for class 6th to class 12th Maths -  https://doubtnut.com/ncert-solutions
• NCERT Solutions for Class 12 - https://doubtnut.com/ncert-solutions/class-12-maths-1
• NCERT Solutions for Class 12, Chapter 10 - https://doubtnut.com/ncert-solutions/class-12-maths-chapter-10-vector-algebra-1


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