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Show that the points A, B, C with positi...

Show that the points A, B, C with position 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` respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

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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 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 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.

Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat k), C(3 hat i-4 hat j-4 hat k) are the vertices of a right angled triangle.

Show that the points A(2 hat i- hat j+ hat k), B( hat i-3 hat j-5 hat k), C(3 hat i-4 hat j-4 hat k) are 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.

Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat i-4 hat j+5 hat k are the vertices of a right angled triangle.

Prove that the points hat i- hat j ,4 hat i-3 hat j+ hat k and 2 hat i-4 hat j+5 hat k are 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.

Prove that the points having position vectors hat i+2 hat j+3 hat k ,\ 3 hat i+4 hat j+7 hat k ,\ -3 hat i-2 hat j-5 hat k are collinear.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot ve...

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  2. Show that the vector 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k ,...

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  3. Show that the points A, B, C with position vectors 2 hat i- hat j+ ...

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  4. If with reference to a right handed system of mutually perpendicula...

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  5. Find the value of x for which the angle between the vectors vec a=2x^...

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  6. If l ,\ m ,\ n are scalars and vec a ,\ vec b ,\ vec c are vectors,...

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  7. If vec a ,\ vec b ,\ vec c are three mutually perpendicular vectors...

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  8. Let vec a ,\ vec b ,\ vec c be three vectors of magnitudes 3, 4 and...

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  9. If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b...

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  10. Three vectors vec a ,\ vec b ,\ vec c satisfy the condition vec a+...

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

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  12. Find vec adot vec b when: vec a= hat j+2 hat k\ a n d\ vec b=2 hat ...

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

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  14. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  15. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  16. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  17. For what value of lambda are the vector vec a\ a n d\ vec b perpendi...

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  18. If vec a\ a n d\ vec b are two vectors such that | vec a|=4,\ | vec ...

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  19. If vec a= i- j and vec b=- j+2k ,find (vec a-2 vec b)dot( vec a+ v...

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  20. Find the angle between the vectors vec a\ a n d\ vec b where: vec a...

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