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Find the value of x\ a n d\ y if the vec...

Find the value of `x\ a n d\ y` if the vectors ` vec a=3 hat i+x hat j- hat k\ a n d vec b=2 hat i+ hat j+y hat k` are mutually perpendicular vectors of equal magnitude.

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Find the values of x and y if the vectors vec a=3 hat i+x hat j- hat k and vec b=2 hat i+ hat j+y hat k are mutually perpendicular vectors of equal magnitude.

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

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For what value of lambda are the vectores vec a=2 hat i+lambda hat j+ hat k\ a n d\ vec b= hat i-2 hat j+3 hat k perpendicular to each other?

Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ vec b= hat i+p hat j+3 hat k are parallel vectors.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
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  2. Let vec a=x^2 hat i+2 hat j-2 hat k ,\ vec b= hat i- hat j+ hat k\ a...

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  3. Find the value of x\ a n d\ y if the vectors vec a=3 hat i+x hat j- h...

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  4. If vec a\ a n d\ vec b are two non collinear unit vectors such that ...

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  5. If vec a ,\ vec b are two vectors such that | vec a+ vec b|\ =| vec ...

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  6. Prove using vectors: The median to the base of an isosceles triangl...

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  7. Show that the diagonals of a rhombus bisect each other at right ang...

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  8. Using vector method, prove that the angel in a semi circle is a rig...

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  9. Prove that the cosine formula for triangles is equivalent to the de...

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  10. In a triangle O A B ,\ /A O B=90^0dot If P\ a n d\ Q are points of tri...

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  11. Prove that; If the diagonals of a quadrilateral bisect each other a...

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  12. (Pythagoras’s Theorem) Prove by vector method that in a right angle...

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  13. Prove by vector method that the sum of the square of the diagonals ...

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  14. prove using vectors: The quadrilateral obtained by joining mid-poin...

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  15. Using analytical geometry, prove that the diagonals of a rhombus are ...

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  16. Prove that the diagonals of a rectangle are perpendicular if and on...

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  17. In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C...

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  18. If the median to the base of a triangle is perpendicular to the bas...

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  19. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

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  20. What is the angle between vectors vec a\ a n d\ vec b with magnitude...

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