Find the magnitude and direction angle of the resultant vector.
1 answer:
9514 1404 393
Answer:
3.694∠127.8°
Step-by-step explanation:
A suitable calculator makes short work of this.
(8; 240°) +(10; 80°) ≈ (3.694; 127.8°)
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If you like, you can add the components of the vectors and figure the magnitude and direction of the result.
a = 8(cos(240°), sin(240°)) ≈ (-4.0000, -6.9282)
b = 10(cos(80°), sin(80°)) ≈ (-1.7365, 9.8481)
r = a + b ≈ (-2.2635, 2.9199)
|r| = √(2.2635² +2.9199²) ≈ 3.69448
∠r = arctan(2.9199/-2.2635) ≈ 127.783°
The resultant is approximately 3.694∠127.78°.
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Answer:
"changes the period to pi"
Step-by-step explanation:
f(t) = Sin(t),
Here, t is the period, by definition.
Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.
Multiplying t by a number that is between 0 and 1 makes the period expanded.
For the first, if we multiply the period by a, the period becomes
Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :
Third answer choice is right.