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Show that the points whose position vect...

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

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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.

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.

Show that the points A, B and C with position vectors, veca=3 hat i-4 hat j-4 hat k , vecb=2 hat i- hat j+ hat k and vecc= hat i-3 hat j-5 hat k respectively form the vertices of a right angled triangle.

Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 hat i-4 hat j-4 hat k ,\ vec b=2 hat i- hat j+ hat k\ a n d\ vec c= hat i-3 hat j-5 hat k represent, form the vertices of a right angled triangle.

Show that the point A , B and C with position vectors vec a =3 hat i - 4 hat j -4 hat k vec b = 2 hat i j + hat k and vec c = hat i - 3 hat j - 5 hat k , respectively form the vertices of a right angled triangle.

Find the sum of vectors vec a= hat i-2 hat j+ hat k ,\ vec b=-2 hat i+4 hat j+5 hat k\ a n d\ vec c= hat i-6 hat j-7 hat kdot

Show that each of the following triads of vectors are coplanar: vec a= hat i-2 hat j+3 hat k ,\ vec b=-2 hat i+3 hat j-4 hat k ,\ vec c= hat i-3 hat j+5 hat kdot

Show that the vectors vec a=-2 hat i-2 hat j+4 hat k ,\ vec b=-2 hat i+4 hat j-2 hat k\ a n d\ vec c=4 hat i-2 hat j-2 hat k are coplanar.

Show that each of the following triads of vectors are coplanar: vec a=-4 hat i-6 hat j-2 hat k ,\ vec b=- hat i+4 hat j+3 hat k ,\ vec c=-8 hat i- hat j+3 hat k .

Show that each of the following triads of vectors are coplanar: vec a= hat i+2 hat j- hat k ,\ vec b=3 hat i+2 hat j+7 hat k ,\ vec c=5 hat i+6 hat j+5 hat k .

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. Find the angles of a triangle whose vertices are A(0,\ -1,\ -2),\ B(3,...

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  2. Find the magnitude of two vectors vec a\ a n d\ vec b having the sam...

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  3. Show that the points whose position vectors are vec a=4 hat i-3 hat j...

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  4. If A ,\ B ,\ C have position vectors (0, 1, 1), (3, 1, 5), (0, 3, 3...

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  5. Find the projection of vec b+ vec c\ on\ vec a\ ,\ w h e r e\ vec a...

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  6. If vec a=5 hat i- hat j-3 hat k\ a n d\ vec b= hat i+3 hat j-5 hat k...

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  7. A unit vector vec a makes angles pi/4\ a n d\ pi/3 with hat i\ a n d...

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  8. If two vectors vec a\ a n d\ vec b are such that | vec a|=2,\ | vec ...

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  9. If vec a\ is a unit vector, then find | vec x| in each of the follow...

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  10. If vec a\ is a unit vector, then find | vec x| in each of the follow...

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  11. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  12. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  13. Find | vec a|a n d\ | vec b| , if : ( vec a+ vec b)dot'( vec a- vec b)...

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  14. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot ve...

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  15. Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot ve...

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  16. Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot ve...

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  17. Find the angle between two vectors vec a\ a n d\ vec b ,\ if:| vec a...

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  18. Express the vector vec a=5 hat i-2 hat j+5 hat k as the sum of two ve...

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  19. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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  20. Express 2 hat i- hat j+3 hat k as the sum of a vector parallel a...

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