# Year 10 Pathway C Mr. D. Patterson.  Distinguish between scalar and vector quantities  Add and subtract vectors in 2 dimensions using scaled diagrams.

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Year 10 Pathway C Mr. D. Patterson

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

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

 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)

 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

 Vectors are represented using special vector notation.

 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

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

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

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

 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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