What are the characteristics of the vector shown? magnitude of 8 and direction angle equal to 0°

magnitude of 8 and direction angle equal to 180°

magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 0°

magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 180°

The correct option is;

Magnitude of 8 and direction angle equal to 0°

Step-by-step explanation:

The magnitude of a vector is given by the distance from the initial point of the vector, (which id the starting point) to the final point of the vector, which is the end point of the vector

From the graph, the starting point of the vector = (-2, 2·√2)

The end point of the vector from the graph = (6, 2·√2)

The magnitude of the vector = √(6 - (-2))² = 6 - (-2) = 6 + 2 = 8

The direction of the vector = arctan((The y-component of the vector)/(The y-component of the vector))

∴ The direction of the given horizontal vector = arctan(0/8) = arctan(0) = 0°

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

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