If the volume of parallelopiped whose co...

If the volume of parallelopiped whose concurrent edges are `3overset(^)i-overset(^)j+4overset(^)k,2overset(^)i+lambdaoverset(^)j-overset(^)k and -5overset(^)i+2overset(^)j+lambdaoverset(^)k` is 110 cu. units, then the value of `lambda` is

A

3

B

5

C

0

D

`31/3`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

VECTORS
TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos
TRIGONOMETRIC FUNCTIONS
TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

If the vectors lambdaoverset(^)i+overset(^)j+2overset(^)k,overset(^)i+lambdaoverset(^)j-overset(^)k and 2overset(^)i-overset(^)j+lambdaoverset(^)k are coplanar if

If the vectors 2overset(^)i+2overset(^)j+6overset(^)k,2overset(^)i+lambdaoverset(^)j+6overset(^)k,2overset(^)i-3overset(^)j+overset(^)k are coplanar, then the value of lambda is

The volumes of the parallelopiped whose edges are represented by bara=2overset(^)i-3overset(^)j+overset(^)k,barb=overset(^)i-overset(^)j+2overset(^)k,barc=2overset(^)i+overset(^)j-overset(^)k is

If the volume of parallelopiped with coterminus edges -poverset(^)i+5k,overset(^)i-overset(^)j+qoverset(^)k and 3overset(^)i-5overset(^)j is 8 then

If bara=overset(^)i-overset(^)j+overset(^)k,barb=overset(^)i+2overset(^)j-overset(^)k and barc=3overset(^)i+poverset(^)j+5overset(^)k are coplanar then the value of p will be

[overset(^)ioverset(^)koverset(^)j]+[overset(^)koverset(^)joverset(^)i]+[overset(^)joverset(^)koverset(^)i]

If the vectors 2overset(^)i-overset(^)j+overset(^)k,overset(^)i+2overset(^)j-3overset(^)k and 3overset(^)i+lambdaoverset(^)j+5overset(^)k be coplanar, then lambda=

The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(^)i+33overset(^)j+36overset(^)k and 47overset(^)i+50overset(^)j+53 overset(^)k are

If the vectors -overset(^)i+3overset(^)j+2overset(^)k,-4overset(^)i+2overset(^)j-2overset(^)kand 5overset(^)i+lambdaoverset(^)j+muoverset(^)k are collinear then

If bara=overset(^)i-overset(^)j+overset(^)k,barb=overset(^)i+overset(^)j-4overset(^)k,barc=-overset(^)i+2overset(^)j-overset(^)k, then [bara barb barc]=

TARGET PUBLICATION-VECTORS-Evaluation Test

Given bara, barb, barc are three non-zero vectors, no two of which are...
Text Solution
|
If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...
Text Solution
|
Let a,b,c be distinct non- negative numbers . If the vectors ah...
Text Solution
|
The edges of a parallelopiped are of unit length and are parallel to ...
Text Solution
|
If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...
Text Solution
|
The value of a so that volume of parallelopiped formed by vectors over...
Text Solution
|
If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...
Text Solution
|
Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...
Text Solution
|
If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...
Text Solution
|
If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...
Text Solution
|
P is any point on the circumference of the circumcircle of DeltaABC. ...
Text Solution
|
The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...
Text Solution
|
If the volume of parallelopiped whose concurrent edges are 3overset(^)...
Text Solution
|
If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...
Text Solution
|
If the position vector of p is 3barp+barq and barp divides PQ intern...
Text Solution
|
A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...
Text Solution
|
In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...
Text Solution
|
Find the coordinates of the foot of the perpendicular drawn from po...
Text Solution
|