AIPMT PRELIMS2007Physics-Vectors
AIPMT PRELIMS 2007 Physics Vector Algebra MCQ Question
Type: MCQ-numerical-Medium-Class 11
A⃗ and B⃗ are two vectors and θ is the angle between them, if |A⃗ × B⃗| = √3(A⃗ ⋅ B⃗), the value of θ is
A
45°
B
30°
C
90°
D
60°
Correct Answer
Option D
Detailed Explanation
The magnitude of the cross product is |A||B|sinθ and the dot product is |A||B|cosθ. Given |A⃗ × B⃗| = √3(A⃗ ⋅ B⃗), solving gives tanθ = √3, which implies θ = 60°.
Found an issue with this question?
Related Questions
More from 2007
CH₃OC₂H₅ and (CH₃)₃C – OCH₃ are treated with concentrated acidic iodide. The fragments after reactions obtained are
Organic ChemistryChemistry
Which of the following is an eye disease?
Human Health and DiseaseZoology
Which one of the following is a fat-soluble vitamin and its related deficiency disease?
NutritionZoology