Home
Class 12
MATHS
Statement 1 : Let A(veca), B(vecb) and C...

Statement 1 : Let `A(veca), B(vecb) and C(vecc)` be three points such that `veca = 2hati +hatk , veb = 3hati -hatj +3hatk and vecc =-hati +7hatj -5hatk`. Then OABC is tetrahedron.
Statement 2 : Let `A(veca) , B(vecb) and C(vecc)` be three points such that vectors `veca, vecb and vecc` are non-coplanar. Then OABC is a tetrahedron, where O is the origin.

A

Statement-II and statement II ar correct and Statement III is the correct explanation of statement I

B

Both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A

Given vectors are non-coplanar
Hence, the answer is (a).
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|17 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca =hati + hatj-hatk, vecb = - hati + 2hatj + 2hatk and vecc = - hati +2hatj -hatk , then a unit vector normal to the vectors veca + vecb and vecb -vecc , is

Let veca -2hati + hatj +hatk , vecb =hati + 2hatj +hatk and vecc = 2hati -3hatj +4hatk . A " vector " vecr " satisfying " vecr xx vecb = vecc xx vecb and vecr . Veca =0 is

Let veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk and vecc = -2 hati + 3hatj + 6hatk . Let veca_(1) be the projection of veca on vecb and veca_(2) be the projection of veca_(1) on vecc . Then veca_(2) is equal to

Select CORRECT statement(s) for three vectors veca=-3hati+2hatj-hatk, vecb=hati-3hatj+5hatk and vecc=2hati+hatj-4hatk

If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the vector vecc such that veca.vecc =2 and veca xx vecc=vecb .

Let veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk and vecc = -2 hati + 3hatj + 6hatk . Let veca_(1) be the projection of veca on vecb and veca_(2) be the projection of veca_(1) on vecc . Then veca_(1).vecb is equal to

If vecA= hati+2hatj+3hatk, vecB=-hati+hatj + 4hatk and vecC= 3hati-3hatj-12hatk , then find the angle between the vector (vecA+vecB+vecC) and (vecAxx vecB) in degrees.

If veca=hati+hatj+hatk, vecb=2hati-hatj+3hatk and vecc=hati-2hatj+hatk find a unit vector parallel to ther vector 2veca-vecb+3c .