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If vec aa n d vec b are two vectors and...

If ` vec aa n d vec b` are two vectors and angle between them is `theta,` then `| vec axx vec b|^2+( vec adot vec b)^2=| vec a|^2| vec b|^2` `| vec axx vec b|=( vec adot vec b),iftheta=pi//4` ` vec axx vec b=( vec adot vec b) hat n ,(w h e r e hat n` is unit vector,`)` if `theta=pi//4` `( vec axx vec b)dot( vec a+ vec b)=0`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
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  2. Let vec aa n d vec b be two non-zero perpendicular vectors. A vecrt...

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  3. If vec aa n d vec b are two vectors and angle between them is thet...

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  4. Let vec r be a unit vector satisfying vec rxx vec a= vec b ,w h e ...

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  5. If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a n...

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  6. Let vec a , vec b ,a n d vec c be non-zero vectors and vec V1= vec a...

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  7. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  8. Let vec P R=3 hat i+ hat j-2 hat ka n d vec S Q= hat i-3 hat j-4 hat ...

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  9. If in a right-angled triangle A B C , the hypotenuse A B=p ,then ...

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  10. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

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  11. If veca satisfies vec axx( hat i+2 hat j+ hat k)= hat i- hat k , then...

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  12. If vec r . vec a= vec r . vec b= vec r . vec c=0,w h e r e vec a , ve...

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  13. The unit vector orthogonal to vector -hat i+ hat j+2 hat k and maki...

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  14. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

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  15. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  16. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  17. Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and th...

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  18. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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  19. Let the position vectors of the points Pa n dQ be 4 hat i+ hat j+lam...

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  20. If a \ "a n d" \ c are unit vectors and |b|=4 . The angle between a ...

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