A submarine climbs at an angle of 30° above the horizontal with a heading to the northeast. If its speed is 20 knots, find the components of the velocity in the east, north, and vertical directions. Let the unit vectors i, j, and k point east, north, and upward, respectively. Sketch a vector describing the velocity of the submarine. Choose the correct graph below. O A. B. up up up 30° 20 knots 20 knots north 30° north 30° north east east east 20 knots The components of the velocity are knots to the east, knots to the north, and knots upward.

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.