Question:
Two vectors have magnitudes 3 and 5. If angle between them is 60$^{\circ}$, then the dot product of two vectors will be
Two vectors have magnitudes 3 and 5. If angle between them is 60$^{\circ}$, then the dot product of two vectors will be
Updated On: Jun 20, 2022
- 7.5
- 6.5
- 8.4
- 7.9
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The Correct Option is A
Solution and Explanation
Given A = 3. B = 5 and $\theta$ = 60$^{\circ}$
$ A . B = 3 \times 5 \times cos \, 60^\circ$
$ A . B = 15 \times \frac{1}{2} = 7.5$
$ A . B = 3 \times 5 \times cos \, 60^\circ$
$ A . B = 15 \times \frac{1}{2} = 7.5$
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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