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The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?
Most Upvoted Answer
The resultant of two vectors A and vector B has magnitude 2N. The magn...
Given:

Magnitude of resultant vector = 2N

Magnitude of vector A = 2√3N

Angle between vector A and resultant vector = 30 degrees


To find:

Magnitude of vector B


Solution:

Let the magnitude of vector B be x.

Since the resultant vector is the sum of vector A and vector B, we can use the Pythagorean theorem to find the magnitude of the resultant vector.

According to the Pythagorean theorem,

(Resultant vector)^2 = (Vector A)^2 + (Vector B)^2

(2N)^2 = (2√3N)^2 + x^2

4N^2 = 12N^2 + x^2

x^2 = 4N^2 - 12N^2 = -8N^2

Since the magnitude of a vector cannot be negative, there is no solution for x.

Hence, there is no magnitude of vector B that can satisfy the given conditions.

Therefore, the answer is undefined.
Community Answer
The resultant of two vectors A and vector B has magnitude 2N. The magn...
Answer- 2N
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The resultant of two vectors A and vector B has magnitude 2N. The magnitude of vector A is 2√3N and it makes an angle of 30 degree with the resultant. Find the magnitude of vector B(in Newton).?
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