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Show that the found points `A ,B ,C ,D` with position vectors ` vec a , vec b , vec c , vec d` respectively such that 3 ` vec a-2 vec b+5 vec c-6 vec d= vec0` , are coplanar. Also, find the position vector of the point of intersection of the line segments `A C` and `B Ddot`

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Show that the four points A ,B ,C ,D with position vectors vec a , vec b , vec c , vec d respectively such that 3 vec a-2 vec b+5 vec c-6 vec d= vec0 , are coplanar. Also, find the position vector of the point of intersection of the line segments A C and B Ddot

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Show that the point A ,B ,C with position vectors vec a-2 vec b+3 vec c ,2 vec a+3 vec b-4 vec c and -7 vec b+10 vec c are collinear.

Prove that the points A ,Ba n d C with position vectors vec a , vec ba n d vec c respectively are collinear if and only if vec axx vec b+ vec bxx vec c+ vec cxx vec a= vec0dot

Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -2 vec a+3 vec b- vec c\ a n d\ 4 vec a-7 vec b+7 vec c are collinear.

Show that vectors vec a ,\ vec b ,\ vec c are coplanar if vec a+ vec b ,\ vec b+ vec c ,\ vec c+ vec a are coplanar.

Show that the vectors vec a , vec b and vec c are coplanar if vec a+ vec b , vec b+ vec c and vec c+ vec a are coplanar.

Show that the points with position vectors vec a-2 vec b+3 vec c ,-2 vec a+3 vec b+2 vec ca n d-8 vec a+13 vec b are collinear whatever be vec a , vec b , vec cdot

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
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  14. If vec P O+ vec O Q= vec Q O+ vec O R , show that the point, P ,Q ,R ...

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  16. If vec aa n d vec b are the vectors determined by two adjacent sides ...

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  18. If vec aa n d vec b represent two adjacent sides vec A Ba n d vec B ...

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  19. A , B , P, Q and R are five points in a plane. Show that the su...

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