The points with position vectors 60hati+...

The points with position vectors `60hati+3hatj,40hati-8hatj, ahati-52hatj` are collinear if (A) `a=-40` (B) `a=40` (C) `a=20` (D) none of these

A

-40

B

40

C

20

D

30

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

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

Similar Questions

Explore conceptually related problems

The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+11hatj are collinear, if a is equal to

If the points with position vectors 20 hati + p hatj , 5 hati - hatj and 10 hati - 13 hatj are collinear, then p =

The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are collinear if a. a=-40 b. a=40 c. a=20 d. none of these

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

If points hati+hatj, hati -hatj and p hati +qhatj+rhatk are collinear, then

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

If the four points with position vectors -2hati+hatj+hatk, hati+hatj+hatk, hatj-hatk and lamda hatj+hatk are coplanar then lamda= (A) 1 (B) 2/3 (C) -1 (D) 0

The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, if

The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk and 4hati+2hatj+3hatk are the vertices of

OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Chapter Test

If the diagonals of a parallelogram are 3 hati + hatj -2hatk and hati ...
Text Solution
|
If ABCD is a quadrilateral, then vec(BA) + vec(BC)+vec(CD) + vec(DA)=
Text Solution
|
The points with position vectors 60hati+3hatj,40hati-8hatj, ahati-52ha...
Text Solution
|
If ABCDEF is a regualr hexagon, then vec(AC) + vec(AD) + vec(EA) + ve...
Text Solution
|
In a regular hexagon ABCDEF, vec(AB)+vec(AC)+vec(AD)+vec(AE)+vec(AF)=k...
Text Solution
|
If P, Q , R are the mid-points of the sides AB, BC and CA of Delta AB...
Text Solution
|
If G is the centroid of the DeltaABC and if G' is the centroid of anot...
Text Solution
|
In a quadrilateral ABCD, vec(AB) + vec(DC) =
Text Solution
|
If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) +...
Text Solution
|
If ABCD is a parallelogram, then vec(AC) - vec(BD) =
Text Solution
|
In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 ...
Text Solution
|
If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk ar...
Text Solution
|
The position vectors of P and Q are respectively vec a and vec b . If ...
Text Solution
|
If the points whose position vectors are 2hati + hatj + hatk , 6hati -...
Text Solution
|
The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati ...
Text Solution
|
If OACB is a parallelogrma with vec( OC) = vec(a) and vec( AB) = vec(...
Text Solution
|
The position vectors of the points A, B, C are 2 hati + hatj - hatk , ...
Text Solution
|
If ABCDEF is regular hexagon, then AD+EB+FC is
Text Solution
|
If the points with position vectors 20 hati + p hatj , 5 hati - hat...
Text Solution
|
If the position vector of a point A is vec a + 2 vec b and vec a divi...
Text Solution
|