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Four non-zero vectors will always be...

Four non-zero vectors will always be

A

linearly dependent

B

linearly independent

C

either (a) or (b)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Four or more than four non-zero vectors are always linearly dependent.
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  2. If a and b are two non collinear vectors; then every vector r coplanar...

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  3. Four non-zero vectors will always be

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  4. The vectors a,b and a+b are

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  5. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  6. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

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  7. If the vectors AB=3hati+4hatk and AC=5hati-2hatj+4hatk are the sides o...

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  8. In the figure, a vectors x satisfies the equation x-w=v. then, x is eq...

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  9. Vectors veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3ha...

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  10. If OP=8 and OP makes angles 45^(@) and 60^(@) with OX-axis and OY-axis...

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  11. Let a,b and c be three unit vectors such that 3a+4b+5c=0. Then which o...

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  12. if A,B,C,D and E are five coplanar points, then vec(DA) + vec( DB) + v...

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  13. If the vectors veca and vecb are linearly independent satisfying (sqrt...

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  14. Find the slope of the normal having point (3,2) and (4,1)

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  15. A line passes through the points whose position vectors are hati+hatj-...

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  16. Find the slop of line . The Equation of line is 2x-3y=2

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  17. If P and Q are the middle points of the sides BC and CD of the paralle...

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  18. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

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  19. A and B are two points. The position vector of A is 6b-2a. A point P ...

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  20. If three points A,B and C are collinear, whose position vectors are ha...

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