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Scalar and Vector Products for NEET: 8 solved questions

Real NEET paper questions on scalar and vector products, part of motion in a plane. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 1992 to 2022. No sign-in needed to read them.

What this topic asks

Vector product — 5 questions
Scalar product and projections — 3 questions

All 8 questions with solutions

If F⃗=2î+ĵ-k̂ and r⃗=3î+2ĵ-2k̂, then the scalar and vector products of F⃗ and r⃗ have the magnitudes resp… NEET Re-2022
If vectors A⃗=cos ω t î+sin ω t ĵ and B⃗=cos (ω t)/2î+sin (ω t)/2ĵ are functions of time, then the value… NEET 2015
Vectors A⃗, B⃗ and C⃗ are such that A⃗·B⃗=0 and A⃗·C⃗=0. Then the vector parallel to A⃗ is KN NEET 2013
A⃗ and B⃗ are two vectors and θ is the angle between them. If |A⃗×B⃗|=√3(A⃗·B⃗), the value of θ is NEET 2007
If the angle between the vectors A⃗ and B⃗ is θ, the value of the product (B⃗×A⃗)·A⃗ is equal to NEET 2005, 1989
If a vector 2î+3ĵ+8k̂ is perpendicular to the vector 4ĵ-4î+αk̂, then the value of α is NEET 2005
The angle between the two vectors A⃗=3î+4ĵ+5k̂ and B⃗=3î+4ĵ-5k̂ will be NEET 1994
The resultant of A⃗×0 will be equal to NEET 1992

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