Physics MCQs
Topic Notes: Physics
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1
What is the scalar triple product result of i · (j × k)?
Answer:
1
In the Cartesian coordinate system, the cross product of unit vectors j and k is equal to i (j × k = i). Subsequently, the dot product of i with itself (i · i) equals 1, because the dot product of any unit vector with itself is defined as the square of its magnitude, which is 1.
2
What is the scalar triple product value of the unit vector i dot the cross product of unit vectors j and k?
Answer:
1
The cross product of unit vectors j and k is equal to the unit vector i (j × k = i). Therefore, the expression becomes i · i. Since the dot product of any unit vector with itself is equal to 1 (i · i = 1), the final result of the scalar triple product is 1. This demonstrates the cyclic property of orthonormal basis vectors in a right-handed coordinate system.
3
What is the scalar result of the triple product operation i · (j × k)?
Answer:
1
In the Cartesian coordinate system, the cross product of unit vectors j and k is equal to i. Consequently, the expression becomes i · i. Since the dot product of any unit vector with itself is equal to the square of its magnitude (which is 1), the final scalar result of this operation is 1.