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The value of x for which the angle betwe...

The value of `x` for which the angle between ` vec a=2x^2 hat i+4x hat j+ hat ka n d vec b=7 hat i-2 hat j+ hat k` is obtuse and the angle between `b` and the z-axis acute and less than `pi//6` is given by

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Find the value of x for which the angle between the vectors vec a=2x^2 hat i+4x hat j+ hat k\ a n d\ vec b=7 hat i-2 hat j+x hat k is obtuse.

Find the angle between the vectors vec a= hat i- hat j+ hat k\ a n d\ vec b= hat i+ hat j- hat kdot

Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=hat i-hat j+hat k

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat k

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

Find the angle between the planes vec rdot(2 hat i- hat j+ hat k)=6a n d vec rdot( hat i+ hat j+2 hat k)=5.

find the cosine of the angle between the vectors vec a= 3 hat i +2 hat k and vec b = 2 hat i -2 hat j + 4 hat k

If vec a=x hat i+(x-1) hat j+ hat k and vec b=(x+1) hat i+ hat j+a hat k make an acute angle AAx in R , then find the values of adot

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a\ a n d\ vec b are unit vectors, then which of the following...

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  2. If the vectors hat(i) - 2x hat(j) + 3 y hat(k) and hat(i) +2x hat(j) ...

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  3. The vector component of vec b perpendicular to vec a is a.( vec bd...

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  4. The length of the longer diagonal of the parallelogram constructed o...

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  5. If vec(a) is a non zero vector of magnitude 'a' and lambda a non zero ...

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  6. If theta is the angle between two vectors vec(a) and vec(b), then vec(...

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

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  8. If vec a ,\ vec b ,\ vec c are any time mutually perpendicular vect...

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  9. If the vectors 3 hat i+lambda hat j+ hat k\ a n d\ 2 hat i- hat j+8 ha...

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  10. The projection of the vector hat i+ hat j+ hat k along the vector ...

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  11. The vectors 2 hat i+3 hat j-4 hat k\ a n d\ a hat i=b hat j+c hat k ar...

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  12. If | vec a|=| vec b|,\ t h e n\ ( vec a+ vec b)dot( vec a- vec b)= a....

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  13. If vec a\ a n d\ vec b are unit vectors inclined at an angle theta t...

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  14. If vec a\ a n d\ vec b are unit vectorts, then the greatest value fo...

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  15. If the angle between the vectors x hat i+3 hat j-7 hat k\ a n d\ x hat...

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  16. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

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  17. Let vec a ,\ vec b ,\ vec c be three unit vectors such that | vec a...

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  18. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

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  19. If theta is an acute angle and the vector (sintheta) hat i+(costheta)...

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  20. If vec a\ a n d\ vec b be two unit vectors and theta is the angle be...

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