Educator

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Example 1:

Find the magnitude and direction of a vector whose horizontal and vertical components are −3 and 4.

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Example 2:

A horizontal force of 30N is applied to a box on a 30^°  ramp. Find the components of the force parallel to the ramp and perpendicular to the ramp.

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Example 3:

A small plane leaves Great Falls, Montana heading N60^° W (this means 60^° west of north) at an airspeed of 160 km/h. Meanwhile the wind is blowing from the direction N60^° E at 40 km/h. Assuming that Great Falls is 180km south of the US/Canadian border and the border runs due east/west, how long will it be until the plane enters Canadian airspace?

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Example 4:

Find the components of a vector of magnitude 8 that points 30^°  west of south.

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Example 5:

A ship is sailing in a current that flows at 5km/h northeast. The ship's captain steers a course (direction) 30^°  east of south at 40km/h relative to the water. Find the true speed and course of the ship.

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