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zeesharpe05
08.02.2021 •
Mathematics
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
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Ответ:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Ответ:
7/1; 4/2=2;8/1
7 is rational number because 7/1 = 7
8 = 4 x 2 = 4/1 x 2/1 and both rational.