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aivan3 [116]
2 years ago
10

The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?

Mathematics
2 answers:
Serjik [45]2 years ago
6 0

Answer:

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

Allisa [31]2 years ago
3 0

Answer:

2√5

Step-by-step explanation:

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