0
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Jordan
JudyAdd your answer:
Earn +20 pts
How can you add three vectors of equal magnitude in a plane such as their resultant is zero?
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
How many minimum of vectors are required in space to get resultant zero?
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
Can three vectors of equal magnitude be combined to give a zero resultant?
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Can three vectors not in one plane give zero resultant?
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
