If veca.veci=veca.(hati+hatj)=veca.(hati...

If `veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk)` . Then find the unit vector `veca`.

A

`vec0`

B

`hati`

C

`hatj`

D

`hati+hatj+hatk`

Text Solution

Verified by Experts

The correct Answer is:

2

Topper's Solved these Questions

VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-B)|32 Videos
VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-C)|6 Videos
VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|20 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

If vecA= 3hati+2hatj and vecB= 2hati+ 3hatj-hatk , then find a unit vector along (vecA-vecB) .

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 .

If vecA= 6hati- 6hatj+5hatk and vecB= hati+ 2hatj-hatk , then find a unit vector parallel to the resultant of veca & 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:

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

If veca=hati+2hatj-hatk and vecb=3hati+hatj-hatk find a unit vector int direction of veca-vecb .

If veca=5hati-hatj-3hatk and vecb=hati+3hatj-5hatk , then show that the vectors veca+vecb and veca-vecb are perpendicular.

If veca=3hati+4hatj-5hatk and vecb=7hati-3hatj+6hatk find a unit vector along (veca+vecb)xx(veca-vecb) .

(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

AAKASH INSTITUTE ENGLISH-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)

|(vecaxxvecb)|^(2) is eqaul to
Text Solution
|
If veca and vecb are unit vectors, then which of the following values ...
Text Solution
|
If veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk) . Then find the un...
Text Solution
|
If veca +vecb +vecc =vec0, |veca| =3 , |vecb|=5 and |vecc| =7 , then ...
Text Solution
|
The vector cosalpha.cosbetahati+cosalpha.sinbetahatj+sinalphahatk is a...
Text Solution
|
If |veca|=|vecb|, then (veca+vecb).(veca-vecb) is equal to
Text Solution
|
If veca and vecb are unit vectors inclined at an angle theta, then the...
Text Solution
|
The projection of the vector hati+hatj+hatk along the vector of hatj i...
Text Solution
|
If OACB is a parallelogram with vecOC=veca and vecAB=vecb, then vecOA ...
Text Solution
|
If veca, vecb, vecc, vecd are the position vectors of points A, B, C a...
Text Solution
|
If the vectors 3hati+lambdahatj+hatk and 2hati-hatj+8hatk are perpendi...
Text Solution
|
The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, ...
Text Solution
|
Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...
Text Solution
|
If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+...
Text Solution
|
If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk, then vecaxxvecb is
Text Solution
|
If veca,vecb represent the diagonals of a rhombus, then
Text Solution
|
If vecu=veca-vecb, vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvec...
Text Solution
|
If vecp=2veca-3vecb, vecq=veca-2b+vecc, vecr=-3veca+vecb+2vecc, veca,v...
Text Solution
|
A vector vecc of magnitude sqrt(7) which is perpendicular to the vecto...
Text Solution
|
If veca=hati+hatj,vecb=hati-hatj, then veca.vecb=
Text Solution
|