Statement 1: `| vec a|=3,| vec b|= 4 a n d | vec a+ vec b|=5,t h e n| vec a- vec b|=5.` Statement 2: The length of the diagonals of a rectangle is the same.

If | vec a|=2,\ | vec b|=5\ a n d\ | vec axx vec b|=8,\ find veca.vecb

If | vec a|=13 ,\ | vec b|=5\ a n d\ vec adot vec b=60 , t h e n find | vec axx vec b|dot

Statement 1: If | vec a+ vec b|=| vec a- vec b|,t h e n vec aa n d vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=5\ a n d\ vec adot vec b=8

Find | vec a- vec b|,\ if:| vec a|=3,\ | vec b|=4\ a n d\ vec adot vec b=1

Find | vec a- vec b|,\ if:| vec a|=2,\ | vec b|=3\ a n d\ vec adot vec b=4

Statement 1: If | vec a+ vec b|=| vec a- vec b| , then vec a and vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle. Which of the following Statements is/are correct ?

If | vec axx vec b|=4,\ vec adot vec b =2,\ t h e n\ | vec a|^2| vec b|^2= 6 b. 2 c. 20 d. 8

If | vec a|=2,\ | vec b|=3\ a n d\ vec adot vec b=3 find the projection of vec b\ on\ vec adot

Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27 and | vec a|=2| vec b|dot