Question:
Of the vectors given below, the parallel vectors are,
$ A = 6 \hat i + 8 \hat j$
$30mm B = 210 \hat i + 280 \hat k$
$ C = 0.3 \hat i + 0.4 \hat j$
$ D = 3.6 \hat i + 6 \hat j + 4.8 \hat k$
Of the vectors given below, the parallel vectors are,
$ A = 6 \hat i + 8 \hat j$
$30mm B = 210 \hat i + 280 \hat k$
$ C = 0.3 \hat i + 0.4 \hat j$
$ D = 3.6 \hat i + 6 \hat j + 4.8 \hat k$
Updated On: Aug 15, 2022
- A and B
- A and C
- A and D
- C and D
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The Correct Option is B
Solution and Explanation
$ A = 6 \hat i + 8 \hat j$
$ B = 210 \hat i + 280 \hat k$
$ C = 0.3 \hat i + 0.4 \hat j = \frac{1}{20} (6 \hat i + 8 \hat j)$
and $\hspace30mm D = 3.6 \hat i + 6 \hat j + 4.8 \hat k$
Hence, it is clear that A and C are parallel and we can write as
$ C = \frac{1}{20} A$
This implies that A is parallel to C.
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration