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MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and ‐direction. Represent vector quantities by directed line segments, and use appropriate

symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and ‐direction. Represent vector quantities by directed line segments, and use appropriate

symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

AccPreCalc Lesson 42

Essential Question: What is a vector? • Standard: MCC9 12.N.VM.1(+)Recognize ‐

vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. Represent vector ‐quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g.,

v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for vectors

and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for

vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and ‐direction. Represent vector quantities by directed line segments, and use

appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

• A vector is a mathematical quantity that has magnitude & direction.Examples: 20 mph, N24oE 165 lbs of force, 310o 88 ft/sec, upward

• A scalar is a mathematical quantity that has only magnitude.

Examples:55 mph ... 32 kg of force ... the number 4 ...

• Velocity is a vector; speed is a scalar.MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and ‐

direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for

vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and ‐direction. Represent vector quantities by directed line segments, and use appropriate

symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for

vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for

vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. ‐Represent vector quantities by directed line segments, and use appropriate symbols for vectors

and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude and direction. Represent ‐vector quantities by directed line segments, and use appropriate symbols for vectors and their

magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both magnitude ‐and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||

v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both ‐magnitude and direction. Represent vector quantities by directed line

segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both ‐magnitude and direction. Represent vector quantities by directed line

segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).

MCC9 12.N.VM.1(+)Recognize vector quantities as having both ‐magnitude and direction. Represent vector quantities by directed line

segments, and use appropriate symbols for vectors and their magnitudes (e.g., v , | v|,||v||,v).