If the points with position vectors 1...

If the points with position vectors `10 hat i+3 hat j ,12 hat i-5 hat j` and `a hat i+11 hat j` are collinear, find the value of `adot`

-8

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ALGEBRA OF VECTORS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
ALGEBRA OF VECTORS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
ALGEBRAIC INEQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat j and a hat i-52 hat j are collinear, find the value of adot

If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are collinear, then

Find the vector equation of the plane passing through three points with position vectors hat i+ hat j-2hatk, 2hat i-\ hat j+ hat k and hat i+2 hat j+ hat kdot Also find the coordinates of the point of intersection of this plane and the line vec r=3 hat i-\ hat j- hat k+lambda(2 hat i-\ 2 hat j+ hat k)dot

If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k are parallel find the value of mdot

Show that the points A, B, C with position vectors 2 hat i- hat j+ hat k ,\ hat i-3 hat j-5 hat k and 3 hat i-4 hat j-4 hat k respectively, are the vertices of a right angled triangle. Also, find the remaining angles of the triangle.

Show that the points whose position vectors are 5 hat i+5 hat k ,\ 2 hat i+ hat j+3 hat k\ a n d-4 hat i+3 hat j- hat k are collinear.

For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat i+6 hat j-8 hat k are collinear?

Find the value of lambda for which the four points with position vectors - hat j- hat k ,4 hat i+5 hat j+lambda hat k ,3 hat i+9 hat j+4 hat k and 4 hat i+4 hat j+4 hat k are coplanar.

For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a hat i+6 hat j-8 hat k are collinear?

OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Exercise

The vector vec c , directed along the internal bisector of the angle...
Text Solution
|
A, B have vectors vec a , vec b relative to the origin O and X, Y d...
Text Solution
|
If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...
Text Solution
|
The vector vec c , directed along the internal bisector of the angle...
Text Solution
|
Let vec a , vec b ,vec c are three non- coplanar vectors such that ...
Text Solution
|
If vec a, vec b , vec c are three non- coplanar vectors such that v...
Text Solution
|
veca, vecb ,vecc are three non zero vectors no two of which are collon...
Text Solution
|
Let alpha,beta and gamma be distinct real numbers. The points with pos...
Text Solution
|
The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...
Text Solution
|
If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...
Text Solution
|
If C is the middle point of AB and P is any point outside AB, then
Text Solution
|
The median AD of the DeltaABC is bisected at E.BE meets AC in F. then,...
Text Solution
|
In a trapezium, the vector BC=lamdaAD. We will then find that p=AC+BD ...
Text Solution
|
If vec xa n d vec y are two non-collinear vectors and A B C isa trian...
Text Solution
|
If D, E, F are respectively the mid-points of AB, AC and BC respectiv...
Text Solution
|
Forces 3 O vec A , 5 O vec B act along OA and OB. If their resultant ...
Text Solution
|
If aBCDEF is a regular hexagon with A vec(B) = vec(a) and B vec(C ) =...
Text Solution
|
If A,B and C are the vertices of a triangle with position vectors vec(...
Text Solution
|
Let vec a=hati -2 hatj + 3 hatk, vec b = 3 hati + 3 hatj -hat k and v...
Text Solution
|
If G is the intersection of diagonals of a parallelogram A B C D and O...
Text Solution
|