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If a and b are two non-zero and non-coll...

If a and b are two non-zero and non-collinear vectors then a+b and a-b are

A

linearly dependent vectors

B

linearly independent vectors

C

linearly dependent annd independent vectors

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Since, a and b are non-collinear, so a+b and a-b will also be non-collinear.
Hence, a+b and a-b are linearly independent vectors.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
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  3. If a and b are two non-zero and non-collinear vectors then a+b and a-b...

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  4. If |veca+ vecb| lt | veca- vecb|, then the angle between veca and vecb...

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  5. The magnitudes of mutually perpendicular forces a,b and c are 2,10 and...

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  6. If hati-3hatj+5hatk bisects the angle between hata and -hati+2hatj+2ha...

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  7. Find the discriminant of the quadratic equation x^2+5x+4=0 and also fi...

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  9. ' I ' is the incentre of triangle A B C whose corresponding sides are ...

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  10. If vecx and vecy are two non-collinear vectors and ABC is a triangle w...

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  11. If vec xa n d vec y are two non-collinear vectors and a, b, and c r...

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  13. If vec b is a vector whose initial point divides the join of 5 hat ...

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  14. find the term independent of x in the expansion of (2x-1/x)^2 ?

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  15. If veca and vecb are two unit vectors and theta is the angle between t...

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  16. A, B, C and D have position vectors veca, vecb, vecc and vecd, repecti...

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  17. if alpha and beta are the root of the quadratic polynomial f(x) = x^2-...

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  18. If a +b+c = alphad, b+c+d=beta a and a, b, c are non-coplanar, then t...

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