STD 12 - 10. vector algebra - CBSE STD 12 Science Mathematics Questions

803

Questions

1

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5

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01

M.C.Q (1 Marks)

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Sample Questions

STD 12 - 10. vector algebra questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

If $a, b, c, d $ be the position vectors of the points $A, B, C$ and $D$ respectively referred to same origin $O$ such that no three of these points are collinear and $a + c = b + d,$ then quadrilateral $ABCD$ is a

A
Square
B
Rhombus
C
Rectangle
✓
Parallelogram

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark

If the resultant of two forces is of magnitude $ P$ and equal to one of them and perpendicular to it, then the other force is

✓
$P\sqrt 2 $
B
$P$
C
$P\sqrt 3 $
D
None of these

Answer: A.

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Q 3M.C.Q (1 Marks)1 Mark

If $OP = 8$ and $\overrightarrow {OP} $ makes angles ${45^o}$ and ${60^o}$ with $OX-$ axis and $OY-$axis respectively, then $\overrightarrow {OP} = $

A
$8\,(\sqrt 2 i + j \pm k)$
✓
$4\,(\sqrt 2 i + j \pm k)$
C
$\frac{1}{4}(\sqrt 2 i + j \pm k)$
D
$\frac{1}{8}(\sqrt 2 i + j \pm k)$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark

If $a$ is non zero vector of modulus $ a $ and $m$ is a non-zero scalar, then $ma$ is a unit vector if

A
$m = \pm 1$
B
$m = \,\,|a|$
✓
$m = \frac{1}{{|a|}}$
D
$m = \pm \,2$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark

$P$ is a point on the side $BC $ of the $\Delta \,ABC$ and $ Q$ is a point such that $\overrightarrow {PQ} $ is the resultant of $\overrightarrow {AP} ,\,\overrightarrow {PB} ,\,\overrightarrow {PC} .$ Then $ABQC $ is a

A
Square
B
Rectangle
✓
Parallelogram
D
Trapezium

Answer: C.

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STD 12 - 10. vector algebra question types

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STD 12 - 10. vector algebra question types

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