Home
Class 12
MATHS
Find the angle between the vecctors vec ...

Find the angle between the vecctors `vec a` and `vec b` with magnitudes 1 and 2 respectively and when `vec a. vec b = sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
`therefore theta = cos^(-1)((sqrt(3))/(2)) = pi/6`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1|4 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise SOLUTIONS TO NCERT TEXT BOOK EXERCISE 10.1 (Answer the following as true or false )|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Find the angle betweeen two vectors vec a and vec b with magnitudes 2 and 1 respectively and such that veca. vec b = sqrt3 .

Find the angle between two vectors vec a and vec b with magnitudes sqrt3 and 2, respectivey having vec a. vec b = sqrt6 .

Find the angle between the vectors veca and vecb such that |vec a| = |vec b| = sqrt 2 and veca.vecb = 1 .

If theta is the angle between the unit vectors vec a and vec b , then prove that sin (theta)/(2) = 1/2|vec a - vec b|

If theta is the angle between any two vectors vec a and vec b , then |vec a. vec b| = | vec a xx vec b| , when theta is equal to

If theta is the angle between the unti vectors vec a and vec b , then proves that cos((theta)/(2)) = 1/2 |vec a + vec b| .

Find the magnitude of the vectors vec a and vec b having same magnitude such that the angle between them is 30^(@) and vec a. vec b = 3

Find the magnitude of two vectors vec a and vec b having the same magnitude and such that the angle between them is 60^(@) and their scalar products is 1/2.

If vec aa n d vec b are any two vectors of magnitudes 1 and 2, respectively, and (1-3 vec adot vec b)^2+|2 vec a+ vec b+3( vec axx vec b)|^2=47 , then the angel between vec aa n d vec b is a. pi//3 b. pi-cos^(-1)(1//4) c. (2pi)/3 d. cos^(-1)(1//4)