The position vectors of the point A, B, ...

The position vectors of the point `A, B, C and D` are `3hati-2hatj -hatk, 2hati+3hatj-4hatk, -hati+hatj+2hatk and 4hati+5hatj +lamda hatk`, respectively. If the points A, B, C and D lie on a plane, find the value of `lamda`.

`-146/17`

`146/17`

`-17/146`

`17/146`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MHT-CET 2019 QUESTION PAPER
TARGET PUBLICATION|Exercise Binomial Distribution|1 Videos
MODEL QUESTION PAPER-II
TARGET PUBLICATION|Exercise MCQs|49 Videos

Similar Questions

Explore conceptually related problems

The position vectors of the points A,B and C are (2hati + hatj - hatk), (3hati - 2hatj + hatk) and (hati + 4hatj - 3hatk) respectively. Show that the points A,B and C are collinear.

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

The position vectors of the points A, B, and C are hati + hatj + hatk.hati+ 5hatj-hatk and 2hati + 3hatj + 5hatk , respectively . The greatest angle of triangle ABC is -

The position vectors of the points A,B, and C are hati+2hatj-hatk, hati+hatj+hatk , and 2hati+3hatj+2hatk respectively. If A is chosen as the origin, then the position vectors B and C are

The position vectors of the points A,B and C are hati+2hatj-hatk,hati+hatj+hatk and 2hati+3hatj+2hatk , respectively. If A is chosen as the origin, then the position vectors of B and C are

The position vectors of points A,B,C and D are A=3hati+4hatj+5hatk , B=4hati+5hatj+6hatk , C=7hati+9hatj+3hatk , and D=4hati+6hatj , then the displacement vectors AB and CD are

If the position vectors of A, B, C, D are 3hat i +2 hat j+hatk, 4 hati +5hatj+5hatk, 4hati +2hatj -2hatk, 6hati +5hatj-hatk respec-tively then the position vector of the point of intersection of lines AB and CD is

Consider points A,B,C annd D with position vectors 7hati-4hatj+7hatk,hati-6hatj+10hatk,-1hati-3hatj+4hatk and 5hati-hatj+5hatk , respectively. Then, ABCD is

If the position vectors of the three points A,B,C are 2hati+4hatj-hatk, hati+2hatj-3hatk and 3hati+hatj+2hatk respectively, find a vector perpendicular to the plane ABC.

The position vectors of vertices of a DeltaABC are 4hati - 2 hatj , hati + 4hatj - 3hatk and -hati + 5hatj + hatk respectively , then angleABC is equal to

TARGET PUBLICATION-MODEL QUESTION PAPER-I-MCQs

The angle between the line 2hati+3hatj+4hatk and the plane overliner.(...
Text Solution
|
If normal the curve y=f(x) is parallel to X-axis, then correct stateme...
Text Solution
|
The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...
Text Solution
|
IF a coin is tossed twice and X is the number of tails, then E(X)=
Text Solution
|
If tn=1/4(n+2)(n+3) for n=1, 2 ,3,.... then 1/t1+1/t2+1/t3+....+1/(t(...
Text Solution
|
The rate of change of surface area of a sphere of radius r when the ra...
Text Solution
|
If the position vectors of the points A,B,C are bara,barb and 3bara-2b...
Text Solution
|
int(sin^3 2x)/(cos^5 2x)dx=
Text Solution
|
IF A=[[x,1],[1,0]] and A^2=I, then A^(-1) is equal to
Text Solution
|
The order of the differential equation of the family of parabolas whos...
Text Solution
|
What are the direction cosines of the y-axis ?
Text Solution
|
IF y=cos^2((3x)/2)-sin^2((3x)/2),then(d^2y)/(dx^2)is
Text Solution
|
A fair coin is tossed n times. if the probability that head occurs 6 t...
Text Solution
|
The probability that at least one of the events Aa n dB occurs is 0.6....
Text Solution
|
(cos9^@+sin9^@)/(cos9^@-sim9^@)= (a) tan 54^@ (b) tan 36^@ (d) None of...
Text Solution
|
e^(-x) (dy)/(dx) = y(1+ tanx + tan^(2) x)
Text Solution
|
int(0)^(pi//6)(sinx)/(cos^(3)x) dx is equal to
Text Solution
|
Prove that the lines x/1=(y-2)/2=(z+3)/3 and (x-2)/2=(y-6)/3=(z-3)/4 a...
Text Solution
|
In a triangle ABC, if a =2x, b=2y and C=120^(@), then the area of the ...
Text Solution
|
IF tan^-1(1+x)+tan^-1(1-x)=pi/2, then the value of x is
Text Solution
|