Find the equilibrant of the 2 vectors given below.P = <-2,10,-5>Q = <3,2,1>Group of answer choices<-1,-12,4><1,12,-4><-6,-20,5><6,20,-5>
Question
Find the equilibrant of the 2 vectors given below.
P = <-2,10,-5>
Q = <3,2,1>
Group of answer choices
<-1,-12,4>
<1,12,-4>
<-6,-20,5>
<6,20,-5>
Solution
The equilibrant of two vectors is the vector that balances the two given vectors. It is equal in magnitude but opposite in direction to the resultant of the two vectors.
The resultant of two vectors P and Q can be found by adding the corresponding components of the two vectors.
So, let's find the resultant vector R = P + Q:
R = P + Q = <-2,10,-5> + <3,2,1> = <-2+3, 10+2, -5+1> = <1, 12, -4>
The equilibrant is equal in magnitude but opposite in direction to the resultant. So, we just need to multiply the resultant by -1:
E = -R = -1 * <1, 12, -4> = <-1, -12, 4>
So, the equilibrant of the vectors P and Q is <-1, -12, 4>.
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