Answer :

Given two unit vectors and forming an angle of 30°.


We know the cross product of two vectors and forming an angle θ is



where is a unit vector perpendicular to and .





Given two diagonals of parallelogram and


Recall the area of the parallelogram whose diagonals are given by the two vectors and is.





We have



We have






But, we found .




is a unit vector



Thus, area of the parallelogram is square units.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the angle beMathematics - Board Papers

If two vectors <sMathematics - Board Papers

If <span lang="ENMathematics - Exemplar

Show that area ofMathematics - Exemplar

Find the equationMathematics - Board Papers

Using vectors, fiMathematics - Board Papers

Find the angle beMathematics - Board Papers

Find the positionMathematics - Board Papers

<span lang="EN-USMathematics - Board Papers

If vectors <span Mathematics - Board Papers