Home
Class 12
MATHS
If hati, hatj, hatk are unit orthonormal...

If `hati, hatj, hatk` are unit orthonormal vectors and `veca` is a vector, If `veca xx vecr = hatj`, then `veca.vecr`:

A

0

B

`in [-1,1]`

C

`in (0,1)`

D

`in R`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If hati , hatj , hatk are units vectors and |veca| = a , then the value of | hati xx |veca|"|"^2 + |hatj xx |veca|"|"^2 +| hatk xx |veca|"|"^2 is :

Let veca=hati+2hatj-hatk, vecb=hati-hatj and vecc=hati-hatj-hatk be three given vectors. If vecr is a vector such that vecr xx veca=vecc xx veca and vecr*vecb=0 , then vecr*veca is equal to _______.

Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be three given vectors. If vecr is a vector such that vecr xx vecb = vecc xx vecd and vecr.veca =0 then find the value of vecr .vecb .

If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vector bot to the vector veca and coplanar with veca and vecb , then a unit vector vecd is perpendicular to both veca and vecc is:

If veca = hati + hatj + hatk, vecc = hatj - hatk are given vectors, then find a vector vecb satisfying the equation veca xx vecb = vecc and veca. vecb =3.

Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be three given vectors. If vecr is a vector such that vecrxxvecb=veccxxvecb and vecr.veca=0 , then the value of vecr.vecb is

veca=2hati+hatj+2hatk, vecb=hati-hatj+hatk and non zero vector vecc are such that (veca xx vecb) xx vecc = veca xx (vecb xx vecc) . Then vector vecc may be given as

Statement 1: Let vecr be any vector in space. Then, vecr=(vecr.hati)hati+(vecr.hatj)hatj+(vecr.hatk)hatk Statement 2: If veca, vecb, vecc are three non-coplanar vectors and vecr is any vector in space then vecr={([(vecr, vecb, vecc)])/([(veca, vecb, vecc)])}veca+{([(vecr, vecc, veca)])/([(veca, vecb, vecc)])}vecb+{([(vecr, veca, vecb)])/([(veca, vecb, vecc)])}vecc