Vectors each have magnitude L. When drawn with their tails at the same point, the angle between them is 30$\degree$. The value of is: A) zero B) L² D) 2L² E) none of these

Question

Quizplus · Accepted Answer

Since all the vectors have the same magnitude L, the only way for their sum to be non-zero is if they form a closed triangle. Since the angle between them is 30 degrees, this is a special case of an equilateral triangle, and thus the sum of the vectors is equal to zero. Therefore, the value of the vector is zero, which corresponds to choice C.

Vectors Each Have Magnitude L °\degree° the Value of Is: A) Zero B) L2

Vectors Each Have Magnitude L $\degree$ the Value of Is:
A) Zero
B) L²