Same chapter3 marksDifficulty: Medium
Find the unit vector in the direction of 3i + 4k.
Vectors
3 marksDifficulty: Medium
Find the projection of a = 2i + 3j + 2k on b = i + 2j + k.
Original Khojo Papers practice question — not from a past board paper.
Answer
10/√6
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
The projection is (a · b)/|b| = (2 + 6 + 2) ÷ √6 = 10/√6.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Find the area of the parallelogram whose adjacent sides are i + j and j + k.
Vectors
Same chapter3 marksDifficulty: Medium
State the geometrical meaning of the scalar and the vector product of two vectors.
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
Evaluate the integral of x·ex with respect to x.
Integrals