Solution :
A vector is defined as an element that has magnitude of some measure and direction.
It is given there is vector 'd' which has magnitude 2.6 m and its direction is towards north.
a). -d
The magnitude of the vector '-d' is 2.6 m and its direction is reversed, i.e. its direction is towards south.
b). d/2.0
The magnitude of the vector 'd/2.0' is 1.3 m and its direction is towards north.
c). - 2.5d
The magnitude of the vector increases by 2.5 times i.e. 2.5 x 2.6 = 6.5 m and the direction is towards south.
d). 5.0d
The magnitude of the vector increases by 5 times i.e. 5 x 2.6 = 13 m and the direction is towards north.
The resultant vector is zero.
Explanation:
When you add displacement vectors using the head to tail method, you follow this procedure:
- Draw the first vector
- Draw the second vector, with its tail starting from the head of the first vector
- Draw the third vector, with its tail starting from the head of the second vector
.. and so on.
The resultant of the all vectors will be the vector connecting the tail of the 1st vector to the head of the last vector.
In this problem, the vectors make a closed polygon: this means that the head of the last vector coincides with the tail of the first vector.
Therefore, this means that the length of the resultant vector is zero.
Learn more about vector addition:
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3.
If the reaction forms a new substance it's a chemical reaction.
Time = (distance) / (speed)
Time = (150 x 10⁹ m) / (3 x 10⁸ m/s) =
50 x 10¹ sec =
<em>500 sec</em> = 8 min 20 sec
