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Which of the following combinations for the vector  will result in the greatest magnitude? ( is 10 units long and  is 15 units long)
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which of the following combinations for the vectorwill result in the g...
In each of these combinations, vector  must be flipped for the subtractive process. Each one must be drawn out to decide what one has the greatest magnitude.
Once vector A is inverted, the tail of vector  should be placed at the head of vector  to obtain the resultant vector. The vector combination only shows the greatest displacement in the x-direction, which is 15 units:
This vector combination shows the greatest displacement in the y-axis, but in either axes, there is loss of displacement, so in either direction it would not surpass 15 units from the previous hint:
This vector combination shows comparable displacement in the x- and y-axes. In the horizontal, it will be some value less than 15 units, and in the vertical, it will be some value greater than 10 units:
This vector combination shows the greatest displacement in y-axis. The y-component of each will definitely add to some value greater than 15 units:

The last vector combination will show the greatest displacement in the y-axis.
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