If veca = hatj + sqrt3hatk = - hatj + sq...

If `veca = hatj + sqrt3hatk = - hatj + sqrt3 hatk and vecc = 2sqrt3 hatk` form a triangle , then the internal angle of the triangle between `veca and vecb` is _______

Text Solution

Verified by Experts

`veca.vecb = -1 + 3=2`
`|veca|=2,|vecb|=2`
` cos tehta = 2/(2xx2) = 1/2`
` theta= pi/3 ` but its value is `(2pi)/3` as it is opposite to the side of maximum length.

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE|Exercise JEE Previous Year (Single Question)|28 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE|Exercise JEE Previous Year (Multiple Question)|11 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE|Exercise Exercise 2.3|18 Videos
CONIC SECTIONS
CENGAGE|Exercise Solved Examples And Exercises|1316 Videos
LIMITS AND DERIVATIVES
CENGAGE|Exercise Solved Examples And Exercises|320 Videos

Similar Questions

Explore conceptually related problems

If veca=7hati-4hatj-4hatk and vecb=-2hati-hatj+2hatk , determine vector vecc along the internal bisector of the angle between vectors veca and vecb such that |vecc|= 5sqrt6 .

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

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

Find vecB xx vecA if vecA = 3hati - 2hatj + 6hatk and vecB = hati - hatj + hatk .

If veca = (hati - 2hatj), vecb = (2hati - 3hatj) and vecc = (2hati + 3hatk) , find (veca + vecb + vecc) .

(a) Calculate vecr=veca-vecb+vecc where veca=5hati+4hatj-6hatk, vecb=-2hati+2hatj+3hatk and vecc=4hati+3hatj+2hatk . (b) Calculate the angle between vecr and the z-axis . (c) Find the angle between veca " and " vecb

If veca=hati-2hatj+3hatk, vecb=2hati+3hatj-hatk and vecc=rhati+hatj+(2r-1)hatk are three vectors such that vecc is parallel to the plane of veca and vecb then r is equal to,

If vecA = hati + 2hatj - hatk , vecB = - hati + hatj - 2hatk , then angle between vecA and vecB is

If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in the reciprocal system of vectors veca, vecb, vecc reciprocal veca of vector veca is

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise

If vecA=(1,1,1) and vecC=(0,1,-1) are given vectors then find a vector...
Text Solution
|
Let vecb=4hati+3hatj and vecc be two vectors perpendicular to each oth...
Text Solution
|
The components of a vector veca along and perpendicular to a non-zero ...
Text Solution
|
A unit vector coplanar with veci + vecj + 2veck and veci + 2 vecj + ve...
Text Solution
|
A non vector veca is parallel to the line of intersection of the plane...
Text Solution
|
If vecb and vecc are any two mutually perpendicular unit vectors and v...
Text Solution
|
Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 r...
Text Solution
|
A, B C and D are four points in a plane with position vectors, veca, v...
Text Solution
|
If vecA=lamda(vecuxxvecv)+mu(vecvxxvecw)+v(vecwxxvecu) and [vecu vecv ...
Text Solution
|
If veca = hatj + sqrt3hatk = - hatj + sqrt3 hatk and vecc = 2sqrt3 hat...
Text Solution
|
Let vecA, vecB and vecC be unit vectors such that vecA.vecB = vecA.vec...
Text Solution
|
If vecx.veca=0vecx.vecb=0 and vecx.vecc=0 for some non zero vector vec...
Text Solution
|
for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...
Text Solution
|
Text Solution
|
Text Solution
|
Text Solution
|
If veca and vecb are vectors in space given by veca= (hati-2hatj)/sqrt...
Text Solution
|
Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...
Text Solution
|
If veca, vecb and vecc are unit vectors satisfying |veca-vecb|^(2)+|ve...
Text Solution
|
Let vec a, vec b, and vec c be three non coplanar unit vectors such th...
Text Solution
|