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Let vec A be a vector parallel to the ...

Let ` vec A` be a vector parallel to the line of intersection of planes `P_1a n dP_2dot` Plane `P_1` is parallel to vectors `2 hat j+3 hat ka n d4 hat j-3ka n dP_2` is parallel to ` hat j- hat ka n d3 hat i+3 hat jdot` Then the angle betweenvector ` vec A` and a given vector `2 hat i+ hat j-2 hat k` is a.`pi//2` b. `pi//4` c. `pi//6` d. `3pi//4`

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Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3 hat j+2 hat ka n d3 hat i+4 hat k from a triangle or not

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

Find the vector equation of the plane passing through the points having position vectors hat i+ hat j-2 hat k ,2 i - hat j+ hat ka n d hat i+2 hat j+ hat kdot

Find the vector of magnitude 3, bisecting the angle between the vectors vec a=2 hat i+ hat j- hat k and vec b= hat i-2 hat j+ hat kdot

Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - hat (k) and vec(c ) = - hat (i) + 3 hat (j) + 2 hat (k) be three given vectors .Find vec(a) xx vec(b)

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

Show that the line of intersection of the planes vec r.( hat i+2 hat j+3 hat k)=0 and vec r.(3 hat i+2 hat j+ hat k)=0 is equally inclined to ia n dkdot Also find the angle it makes with jdot

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. For non-zero vectors vec a , vec b ,a n d vec c ,|( vec axx vec b)dot...

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  2. For three vectors vec u , vec va n d vec w which of the following ex...

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  3. Let vec A be a vector parallel to the line of intersection of pla...

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  4. If vec a . vec b=beta and vec axx vec b= vec c ,then vec b is ((beta ...

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  5. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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  6. Let vec aa n d vec b be mutually perpendicular unit vectors. Then ...

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  7. Value of [ vec axx vec b , vec axx vec c , vec d] is always equal to...

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  8. Let vec aa n d vec b be unit vectors that are perpendicular to each ...

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  9. Let vec r , vec a , vec ba n d vec c be four nonzero vectors such ...

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  10. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

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  11. If 4 vec a+5 vec b+9 vec c=0, then ( vec axx vec b)xx[( vec bxx vec c)...

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  12. If vec a , vec b ,a n d vec c are such that [ vec a vec b vec c]=1, v...

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  13. A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ ...

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  14. Let P be a point interior to the acute triangle A B Cdot If P A+P B+...

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  15. G is the centroid of triangle ABC and A1 and B1 are the midpoints of...

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  16. Points vec a , vec b , vec c ,a n d vec d are coplanar and (sinalpha...

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  17. If vec aa n d vec b are any two vectors of magnitudes 1 and 2, resp...

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  18. If vec a and vec b are any two vectors of magnitudes 2 and 3, respe...

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  19. If vec a\ a n d\ vec b are two vectors such that | vec axx vec b|=sq...

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  20. If the vector product of a constant vector vec O A with a variable ve...

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