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Let vec u ,\ vec v\ a n d\ vec w be v...

Let ` vec u ,\ vec v\ a n d\ vec w` be vector such ` vec u+ vec v+ vec w=0.\ ` if `| vec u|=3,\ | vec v|=4\ a n d\ | vec w|=5,` then find ` vec udot vec vdot+ vec vdot vec w+ vec wdot vec udot`

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If a vector vec a is perpendicular to two non collinear vectors vec ...

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  2. If vec a+ vec b+ vec c= vec0, show that the angle theta between the v...

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  3. Let vec u ,\ vec v\ a n d\ vec w be vector such vec u+ vec v+ vec ...

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  4. 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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  5. 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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  6. If vec a\ a n d\ vec b are two non collinear unit vectors such that ...

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

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

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

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

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

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

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

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

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

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

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

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

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