Home
Class 12
MATHS
If bara=11/2overset(^)i,barb=12overset(^...

If `bara=11/2overset(^)i,barb=12overset(^)j and barc=13/3 overset(^)k` represents the three co-terminus edges of a parallelopiped, then its volume is given by

A

510

B

145

C

286

D

268

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If bara=-3overset(^)i+7overset(^)j+5overset(^)k,barb=-3overset(^)i+7overset(^)j-3overset(^)k and c=7overset(^)i-5overset(^)j-3overset(^)k are the three coterminus edges of a parallelopiped, then its volume is

If the vectors 2overset(^)i-3overset(^)j,overset(^)i+overset(^)j-overset(^)k and 3overset(^)i-overset(^)k form three concurrent edges of a parallelopiped, then the volume of parallelopiped is

If bara=2overset(^)i-3overset(^)j+5overset(^)k,barb=3overset(^)i-4overset(^)j+5overset(^)k and barc=5overset(^)i-3overset(^)j-2overset(^)k , then the volume of the parallelopiped with co-terminus edges bara+barb,barb+barc,barc+bara is

Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and barc =overset(^)i+2overset(^)j+3overset(^)k be three given vectors. If barr is a vector such that barrxxbarb=barcxxbarb and barr. bara=0 , then the value of barr.barb is

If bar(OA)=overset(^)i+3overset(^)j-2overset(^)k and bar(OB)=3overset(^)i+overset(^)j-2overset(^)k, then the vectors bar(OC) which bisects angleAOB is equal to

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

The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)=5overset(^)i-5overset(^)j+2overset(^)k are sides of a triangle ABC . The length of the median through A is....units.: a) sqrt13 b) 2sqrt5 c) 5 d) 10

If the vectors 3overset(^)i+overset(^)j-5overset(^)k and aoverset(^)i+boverset(^)j-15overset(^)k are collinear, if

If the vectors 3overset(^)i+2overset(^)j-overset(^)k and 6overset(^)i-4xoverset(^)j+yoverset(^)k are parallel, then the value of x and y will be