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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

A

linearly dependent

B

linearly independent

C

either a or b

D

none of these

Text Solution

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The correct Answer is:
A
Four or more than four non-zero vectors are always linearly dependent.
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CENGAGE PUBLICATION-INTRODUCTION TO VECTORS -SINGLE CORRECT ANSWER TYPE
  1. Four non zero vectors will always be a. linearly dependent b. linea...

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  2. Let veca,vecb,vecc be three unit vectors such that 3veca+4vecb+5vecc=v...

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  3. Let ABC be a triangle the position vectors of whose vertices are respe...

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

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  5. A point O is the centre of a circle circumscribed about a triangleA...

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  6. If G is the centroid of a triangle A B C , prove that vec G A+ vec G ...

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  7. If vec a\ is a non zero vecrtor iof modulus vec a\ a n d\ m is a no...

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  8. A B C D parallelogram, and A1a n dB1 are the midpoints of sides B Ca n...

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  9. The position vectors of the points P and Q with respect to the origin ...

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  10. A B C D is a quadrilateral. E is the point of intersection of th...

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  11. The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides...

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

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  13. If vec a and vec b are two unit vectors and theta is the angle between...

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  14. let us define , the length of a vector as |a| + |b| +|c| . this defini...

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  15. Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+...

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  16. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

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  17. In triangle A B C ,/A=30^0,H is the orthocenter and D is the midpoint ...

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  18. Let vec r1, vec r2, vec r3, , vec rn be the position vectors of poin...

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  19. Given three non-zero, non-coplanar vectors veca, vecb and vecc. vecr1=...

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  20. If the vectors vec a and vec bare linearly independent and satisfying ...

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