Let veca, vecb and vecc be the three vec...

Let `veca, vecb and vecc` be the three vectors having magnitudes, 1,5 and 3, respectively, such that the angle between `veca and vecb "is" theta and veca xx (veca xxvecb)=vecc`. Then `tan theta` is equal to

A

0

B

`2/3`

C

`3/5`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:

d

`vecaxx(vecaxxvecb)=veccRightarrow|veca||vecaxxvecb|=|vecc|`
`(vecabot (veca xx vecb))`
`1(1xx5)sin theta'=3 Rightarrowsin theta= 3/5 Rightarrowtan theta= 3/4 `

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE|Exercise Exercise|337 Videos
DETERMINANTS
CENGAGE|Exercise All Questions|268 Videos
DIFFERENTIAL EQUATIONS
CENGAGE|Exercise Question Bank|7 Videos

Similar Questions

Explore conceptually related problems

Let veca, vecb , vecc be three vectors of equal magnitude such that the angle between each pair is pi/3 . If |veca + vecb + vecc| = sqrt6 , " then " |veca|=

If veca,vecb and vecc are three unit vectors satisfying veca-sqrt(3)vecb+vecc=vec0 then find the angle between veca and vecc ?

if veca,vecb and vecc are mutally perpendicular vectors of equal magnitudes, then find the angle between vectors and veca+ vecb+vecc .

If veca,vecb and vecc are three unit vectors satisfying veca-vecb-sqrt3 vecc=0 then the angle between veca and vecc is:

Let veca, vecb, vecc be three unit vectors and veca.vecb=veca.vecc=0 . If the angle between vecb and vecc is pi/3 then find the value of |[veca vecb vecc]|

If veca, vecb,vecc are unit vectors such that veca.vecb = 0= veca.vecc and the angle between vecb and vecc is pi//3 then the value of |vecaxxvecb -veca xx vecc| is

If veca, vecb and vecc are three units vectors equally inclined to each other at an angle alpha . Then the angle between veca and plane of vecb and vecc is

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

If veca, vecb, vecc are three given non-coplanar vectors and any arbit...
Text Solution
|
Two vectors in space are equal only if they have equal component in...
Text Solution
|
Let veca, vecb and vecc be the three vectors having magnitudes, 1,5 an...
Text Solution
|
Let veca, vecb , vecc be three vectors of equal magnitude such that t...
Text Solution
|
If veca,vecb,vecc are three mutually perpendicular vectors, then the v...
Text Solution
|
Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...
Text Solution
|
If veca and vecb are two vectors, such that veca.vecblt0 and |veca.vec...
Text Solution
|
If hat a , hat b ,a n d hat c are three unit vectors, such that h...
Text Solution
|
If veca, vecb,vecc are unit vectors such that veca.vecb = 0= veca.vecc...
Text Solution
|
about to only mathematics
Text Solution
|
Two adjacent sides of a parallelogram ABCD are 2hati+4hatj -5 hatkand ...
Text Solution
|
If hata,hatb and hatc are three unit vectors inclined to each other at...
Text Solution
|
Let the pair of vector veca,vecb and vecc,vecd each determine a plane....
Text Solution
|
If vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc are non...
Text Solution
|
If veca satisfies vecaxx(hati+2hatj+hatk)=hati-hatk" then " veca is eq...
Text Solution
|
Vectors 3veca-5vecb and 2veca + vecb are mutually perpendicular. If ve...
Text Solution
|
The units vectors orthogonal to the vector - hat i + 2hat j + 2hat k ...
Text Solution
|
The value of x for which the angle between veca=2x^(2)hati+4xhatj + ha...
Text Solution
|
If vectors veca and vecb are two adjacent sides of parallelograsm then...
Text Solution
|
A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b ...
Text Solution
|