two vectors of magnitudes 7 units and 15 units can never give resultant of?
a)7 units
b)11 units
c)13 units
d)20 unit
The resultant of two vectors A and B can have a magnitude ranging between ||A||±||B||.
The minimum is when they are lined up and opposite to each other, and the minimum is when they are lined up and in the same direction.
Now you can make your choice of answers.
The minimum is when they are lined up and opposite to each other, and the maximum is when they are lined up and in the same direction.
To find the resultant of two vectors, you can use the concept of vector addition. The magnitude of the resultant vector is determined by the magnitude and direction of the individual vectors involved.
In this case, we have two vectors with magnitudes 7 units and 15 units. To determine if they can give a resultant of a certain magnitude, you can use the triangle inequality theorem.
According to the triangle inequality theorem, the magnitude of the resultant of two vectors must be less than or equal to the sum of the magnitudes of the individual vectors.
Let's consider the options one by one:
a) 7 units: The sum of the magnitudes of the two vectors (7 + 15) is 22 units. Since 22 is greater than 7, it is possible for two vectors to give a resultant of 7 units. Therefore, option a can be a resultant.
b) 11 units: The sum of the magnitudes of the two vectors (7 + 15) is 22 units. Since 22 is greater than 11, it is possible for two vectors to give a resultant of 11 units. Therefore, option b can be a resultant.
c) 13 units: The sum of the magnitudes of the two vectors (7 + 15) is 22 units. Since 22 is greater than 13, it is possible for two vectors to give a resultant of 13 units. Therefore, option c can be a resultant.
d) 20 units: The sum of the magnitudes of the two vectors (7 + 15) is 22 units. Since 22 is less than 20, it is not possible for two vectors to give a resultant of 20 units. Therefore, option d cannot be a resultant.
In conclusion, the correct answer is option d) 20 units.