5 NEET Physics previous year questions on Mathematical Tools and Vectors — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
Q1 FREE PREVIEW
PYQ
Assertion A: If and are four points on a semicircular arc with centre at ' ' such that , then Reason R: Polygon law of vector addition yields In the light of the above statements, choose the most appropriate answer from the options given below: [JEE Main 2021, 27 Jul (Shift 1)]
ais not correct but is correct.
bis correct but is not correct.
cBoth and are correct and is the correct explanation of .
dBoth and are correct but is not the correct explanation of .
✓ Correct answer: d) Both and are correct but is not the correct explanation of .
ExplanationPolygon law is applicable in both the cases given but the equation given in the reason is not useful in explaining the assertion.
Q2
PYQ
Statement I : If three forces , are represented by three sides of a triangle and , then these three forces are concurrent forces and satisfy the condition for equilibrium. Statement II : A triangle made up of three forces and as its sides taken in the same order, satisfy the condition for translatory equilibrium. In the light of the above statements, choose the most appropriate answer from the options given below: [JEE Main 2021, 31 Aug (Shift 2)]
aStatement I is false but Statement II is true
bStatement I is true but Statement II is false
cBoth Statement I and Statement II are false
dBoth Statement I and Statement II are true.
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Q3
PYQ
If two vectors \(\vec{P}=\hat{i}+2m\hat{j}+m\hat{k}\) and \(\vec{Q}=4\hat{i}−2\hat{j}+m\hat{k}\) are perpendicular to each other. Then, the value of m will be:
a
1
b
–1
c
–3
d
2
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Q4
PYQ
Two vectors \(\vec{X}\) and \(\vec{Y}\) have equal magnitude. The magnitude of \((\vec{X}-\vec{Y})\) is \(n\) times the magnitude of \((\vec{X}+\vec{Y})\). The angle between \(\vec{X}\) and \(\vec{Y}\) is:
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Q5
PYQ
When vector \(\vec{A}=2 \hat{i}+3 \hat{j}+2 \hat{k}\) is subtracted from vector \(\vec{B}\), it gives a vector equal to \(2 \hat{j}\). Then the magnitude of vector \(\vec{B}\) will be:
a
\(\sqrt{33}\)
b
3
c
\(\sqrt{6}\)
d
\(\sqrt{5}\)
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