Show that the points with position vecto...

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.

Text Solution

AI Generated Solution

Topper's Solved these Questions

ALGEBRA OF MATRICES
RD SHARMA ENGLISH|Exercise All Questions|410 Videos
APPLICATION OF INTEGRALS
RD SHARMA ENGLISH|Exercise All Questions|163 Videos

Similar Questions

Explore conceptually related problems

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.

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

Show that the points A ,B ,C with position vectors -2 vec a+3 vec b+5 vec c , vec a+2 vec b+3 vec c a n d7 vec a- vec c respectively, are collinear.

If vec a , vec ba n d vec c are non-coplanar vectors, prove that the four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec c ,3 vec a+ 4 vec b-2 vec ca n d vec a-6 vec b+6 vec c are coplanar.

If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the following vectors are non coplanar: \ 2 vec a- vec b+3 vec c ,\ vec a+ vec b-2 vec c\ a n d\ vec a+ vec b-3 vec c

If vec a ,\ vec b ,\ vec c are non coplanar vectors, prove that the following vectors are non coplanar: \ vec a+2 vec b+3 vec c ,\ 2 vec a+ vec b+3 vec c\ a n d\ vec a+ vec b+ vec c

Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca n d-2 vec a+3 vec b-4 vec c are coplanar, where vec a , vec b , vec c are non-coplanar.

Prove that four points 2 vec a+3 vec b- vec c , vec a-2 vec b+3 vec c ,3 vec a+4 vec b-2 vec c and vec a-6 vec b+6 vec c are coplanar.

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions

Find a vector magnitude 5 units, and parallel to the resultant of t...
Text Solution
|
If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...
Text Solution
|
Show that the points with position vectors vec a-2 vec b+3 vec c ,\ -...
Text Solution
|
Show that the three points A(-2, 3,5); B(1, 2, 3) and C(7, 0, -1) are ...
Text Solution
|
The position vectors of the points P ,\ Q ,\ R are hat i+2 hat j+3 ha...
Text Solution
|
Show that the point A ,B ,C with position vectors vec a-2 vec b...
Text Solution
|
If a ,\ b ,\ c are non coplanar vectors prove that the points having t...
Text Solution
|
If a ,\ b ,\ c are non coplanar vectors prove that the points having t...
Text Solution
|
Prove that the points having position vectors hat i+2 hat j+3 hat k ,...
Text Solution
|
If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...
Text Solution
|
If vec a , vec b are two non-collinear vectors, prove that the poi...
Text Solution
|
If vec A O+ vec O B= vec B O+ vec O C , prove that A , B , C are coll...
Text Solution
|
If the points A(m ,-1),\ B(2,1)a n d\ C(4,5) are collinear find the va...
Text Solution
|
Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...
Text Solution
|
Show that the points (3,4), (-5, 16), (5,1) are collinear.
Text Solution
|
If the vectors vec a=2 hat i-3 hat j\ a n d\ vec b=-6 hat i+m hat j ...
Text Solution
|
Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...
Text Solution
|
Using vectors show that the points A(-2,3,5), B(7,0,-1), C(-3,-2,-5) a...
Text Solution
|
Show that the points whose position vectors are as given below are ...
Text Solution
|
Using vector method, prove that the following points are collinear: A...
Text Solution
|