Vectors and Three D Geometry Basic Questions for AGNIVEER NAVY

Free, AI-curated practice for the Vectors and Three D Geometry Basic section of AGNIVEER NAVY. We have 15+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · easy · AI-verified

What is the dot product of vectors **a** = 2î + 3ĵ and **b** = 4î + 5ĵ?

Q2 · medium · AI-verified

If a⃗ and b⃗ are two vectors such that |a⃗| = 3, |b⃗| = 4 and a⃗ · b⃗ = 6, then the angle between a⃗ and b⃗ is:

90°
30°
60°
45°

Q3 · easy · AI-verified

If position vectors of points A and B are î + 2ĵ + 3k̂ and 4î + 5ĵ + 6k̂ respectively, what is the vector AB?

3î + 3ĵ + 3k̂
3î + 7ĵ + 9k̂
5î + 7ĵ + 9k̂
−3î − 3ĵ − 3k̂

Q4 · easy · AI-verified

What is the distance between the points P(1, 2, 3) and Q(4, 6, 3) in 3D space?

√41
√34
5
7

Q5 · medium · AI-verified

If a⃗ = 4î − 2ĵ + 4k̂, then the unit vector along a⃗ is:

(1/3)î − (2/3)ĵ + (2/3)k̂
(4/√36)î − (2/√36)ĵ + (4/√36)k̂
(4/√26)î − (2/√26)ĵ + (4/√26)k̂
(2/3)î − (1/3)ĵ + (2/3)k̂

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Vectors and Three D Geometry Basic Questions for AGNIVEER NAVY

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