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If vector B is added to vector A, the
resultant is 6î + Î. If B is subtracted from
A the resultant is -4î + 7. What is the
magnitude of Ă?
A 5.1
Answers
Given : vector B is added to vector A, the resultant is 6î + Î
B is subtracted from A the resultant is -4î + 7 Î
To find : the magnitude of Ă
Solution:
Vector A = Mî + NÎ
Vector B = Pî + QÎ
vector B is added to vector A, the resultant is 6î + Î
=> Mî + NÎ + Pî + QÎ = 6î + Î
=> (M + P)î + (N + Q)Î = 6î + Î
=> M + P = 6 , N + Q = 1
B is subtracted from A the resultant is -4î + 7Î
=> Mî + NÎ - ( Pî + QÎ ) =-4î + 7Î
=> (M - P)î + (N - Q)Î = -4î + 7Î
=> M - P = - 4 , N - Q = 7
M + P = 6 , M - P = - 4
=> M = 1 , P = 5
N + Q = 1 , N - Q = 7
=> N = 4 , Q = -3
Ă = 1î + 4Î
magnitude of Ă = √1² + 4² = √17
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Step-by-step explanation:
The resultant is found by adding vectors together. You can use the trig functions to find the x and y components of each vector, add them, and find the magnitude of the new vector...or, you can notice that 110° - 20° = 90°. So what you have is a 3, 4, 5 right triangle. The magnitude is 5.
hope it is similar to this concept ......plz cross check it