Home
Class 12
MATHS
Vectors veca = hati+2hatj+3hatk, vec b =...

Vectors `veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3hati+hatj+4hatk` are so placed that the end point of one vector is the starting point of the next vector. Then the vectors are

A

not coplanar

B

coplanar but cannot form a triangle

C

coplanar and form a triangle

D

coplanar and can form a right angled triangle.

Text Solution

Verified by Experts

The correct Answer is:
B

Note that a+b=c
Promotional Banner

Similar Questions

Explore conceptually related problems

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of (lamda -4) .

if three vectors are veca=-3hati+2hatj-hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk then find a-b-c is

Show that the vectors vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-hatj+5hatk are coplannar.

If the vectors vec(a)=hati+3hatj+hatk,vec(b)=2hati-hatj-hatk and vec( c )=lambda hati+7hatj+3hatk are coplannar then find lambda .

Show that the vectors, vec(a)=hati-2hatj+3hatk,vec(b)=-2hati+3hatj-4hatk and vec( c )=hati-3hatj+5hatk are coplanar.

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

If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj+betahatk are linearly dependent vectors and |vecc|=sqrt(3) then

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj--7hatk .

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.