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If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3...

If in a `"Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3)` then the vector of magnitude `2sqrt(2)` units directed along `A O ,\ w h e r e\ O` is the circumcentre of ` A B C` is
a.`(1-sqrt(3)) hat i+(1+sqrt(3)) hat j` b. `(1+sqrt(3)) hat i+(1-sqrt(3)) hat j` c. `(1+sqrt(3)) hat i+(sqrt(3)-1) hat j` d. none of these

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If side vec A B of an equilateral trangle A B C lying in the x-y plane 3 hat i , then side vec C B can be a. -3/2( hat i-sqrt(3) hat j) b. -3/2( hat i-sqrt(3) hat j) c. -3/2( hat i+sqrt(3) hat j) d. 3/2( hat i+sqrt(3) hat j)

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A unit vector perpendicular to both hat i+ hat j\ a n d\ hat j+ hat k is hat i- hat j+ hat k b. hat i+ hat j+ hat k c. 1/(sqrt(3))( hat i+ hat j+ hat k) d. 1/(sqrt(3))( hat i- hat j+ hat k)

The unit vector orthogonal to vector -hat i+ hat j+2 hat k and making equal angles with the x and y-axis a. +-1/3(2 hat i+2 hat j- hat k) b. +-1/3( hat i+ hat j- hat k) c. +-1/3(2 hat i-2 hat j- hat k) d. none of these

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  2. Write a unit vector in the direction of vec P Q ,\ w h e r e\ P\ a n ...

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  3. Find a vector in the direction of vector 2 hat i-3 hat j+6 hat k which...

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  4. It | vec a|=4\ and-3lt=lambdalt=2, then write the range fo lambda |vec...

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  5. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

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  6. If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) the...

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  7. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

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  8. Evaluate int\tan^2x\dx

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  9. If points A(60 hat i+3 hat j),\ B(40 hat i-8 hat j)a n d\ C(a hat i-52...

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  10. If G is the intersection of diagonals of a parallelogram A B C D and O...

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  11. The vector cosalpha\ cosbeta hat i+cosalpha\ sinbeta hat j+sinalpha ha...

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  12. In a regular hexagon A B C D E F ,\ A vec B=a ,\ B vec C= vec b\ a n d...

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  13. The vector equation of the plane passing through vec a ,\ vec b , ve...

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  14. If O\ a n d\ O^(prime) are circumcentre and orthocentre of \ A B C ,\ ...

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  15. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

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  16. Let G be the centroid of triangle\ A B Cdot If vec A B= vec a ,\ ve...

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  17. If A B C D E F is a regular hexagon, them vec A D+ vec E B+ vec F C e...

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  18. The position vectors of the points A ,\ B ,\ C are 2 hat i+ hat j- hat...

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  19. If three points A ,\ B ,\ a n d\ C have position vectors hat i+x hat ...

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  20. A B C D isa parallelogram with A C\ a n d\ B D as diagonals. Then, ve...

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