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Check whether the three vectors 2 hat...

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

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Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

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

Show that the vectors 2 hat i- hat j+ hat k , hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k form the vertices of a right angled triangle.

Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,\ 3 hat i-4 hat j-4 hat k form the sides of a rights angled triangle.

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b= hat i+3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k form a right angled triangle.

Find a unit vector in the direction of the resultant of the vectors hat i- hat j+3 hat k ,""2 hat i+ hat j-2 hat k"and"3 hat i +2 hat j-2 hat k""dot

Show that the vectors veca= hat i-2 hat j+3 hat k , vecb=-2 hat i+3 hat j-4 hat ka n d vec c= hat i-3 hat j+5 hat k are coplanar.

Show that the vectors vec a=3 hat i-2 hat j+ hat k ,\ vec b= hat i-3 hat j+5 hat k ,\ vec c=2 hat i+ hat j-4 hat k form a right angled triangle.

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

Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8 hat k are collinear.

CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...

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  2. Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...

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  3. Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...

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  4. The midpoint of two opposite sides of a quadrilateral and the midpo...

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  5. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  6. Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...

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  7. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

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  8. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

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  9. Let alpha, beta and gamma be distinct real numbers. The points whose ...

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  10. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  11. In the DeltaOAB,M is the mid-point of AB,C is a point on OM, such that...

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  12. If vec a , vec b are two non-collinear vectors, prove that the poi...

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  13. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  14. The number of distinct real values of lambda , for which the vectors...

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  15. If vec A O+ vec O B= vec B O+ vec O C , then A ,B and C are (where O...

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  16. Find a vector magnitude 5 units, and parallel to the resultant of t...

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  17. Show that the points A(1,-2,-8),B(5,0,-2)a n dC(11,3,7) are collinear,...

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  18. The position vectors of Pa n dQ are 5 hat i+4 hat j+a hat k and - hat ...

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  19. Given three points are A(-3,-2,0),B(3,-3,1)a n dC(5,0,2)dot Then find ...

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  20. Let A B C D be a p[arallelogram whose diagonals intersect at P and ...

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