Same chapter3 marksDifficulty: Medium
State the geometrical meaning of the scalar and the vector product of two vectors.
Vectors
3 marksDifficulty: Medium
Find the area of the parallelogram whose adjacent sides are i + j and j + k.
Original Khojo Papers practice question — not from a past board paper.
Answer
√3 square units
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The area is the magnitude of the cross product. Expanding the determinant for (i + j) × (j + k) gives i − j + k, whose magnitude is √(1 + 1 + 1) = √3.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Find the unit vector in the direction of 3i + 4k.
Vectors
Same chapter3 marksDifficulty: Medium
Find the projection of a = 2i + 3j + 2k on b = i + 2j + k.
Vectors
Same chapter3 marksDifficulty: Medium
For a = i + 2j + 3k and b = 4i + 5j + 6k, find a × b.
Vectors
Same chapter2 marksDifficulty: Easy
If a = i + 2j + 3k and b = 4i + 5j + 6k, find a · b.
Vectors
Same subject3 marksDifficulty: Medium
If A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], find AB and BA and state whether they are equal.
Matrices