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Year 10 Pathway C Mr. D. Patterson

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Distinguish between scalar and vector quantities Add and subtract vectors in 2 dimensions using scaled diagrams

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A scalar is a physical quantity that has a magnitude (size or length) only. Examples: ◦ Time ◦ Temperature ◦ Distance or length

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A vector is a physical quantity that has a magnitude and a direction. The magnitude may sometimes be called the length Example: ◦ Velocity (speed + direction) ◦ Displacement (distance + direction)

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Vectors can be drawn using directed line segments The length of the line segment represents the magnitude of the vector. The arrow represents the direction of the vector Scale: 1cm:1km 3 cm long means 3 km

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Vectors are represented using special vector notation.

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Adding vectors requires consideration of both length and direction. Use the head to tail method. ABC The “resultant” (R) is the sum of the vectors. It is measured from the tail of the first vector to the head of the last vector. R = A + B R = B + C

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A negative vector (e.g.: -A) has the same magnitude as the positive vector (A) but points in the opposite direction. AC -A-C

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Subtracting a vector can be thought of as “adding a negative vector” ABC A-BB-C A+(-B)B+(-c)

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ABC Find the resultant of: a) R=A+B b) R=A+C C) R=B-C A B Resultant A C B -C Resultant Draw the following vectors: A = 2 units north B = 2 units north east C = 3 units east

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Distinguish between scalar and vector quantities Add and subtract vectors in 2 dimensions using scaled diagrams Matthews and Winters Set 2, 3, 4

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