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Determining if Vectors are Parallel

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Presentation on theme: "Determining if Vectors are Parallel"β€” Presentation transcript:

1 Determining if Vectors are Parallel
Silent Teacher Intelligent Practice Narration Your Turn 𝒂+𝒃 πŸπ’‚+πŸπ’ƒ πŸ‘π’‚+πŸ‘π’ƒ πŸ‘π’‚βˆ’πŸ‘π’ƒ Practice

2 Are 𝒂+𝒃 and Are 𝒂+𝒃 and 5𝒂+5𝒃 parallel? 𝒂+5𝒃 parallel? Are 𝒂+𝒃 and
Worked Example Your Turn Are 𝒂+𝒃 and 5𝒂+5𝒃 parallel? Are 𝒂+𝒃 and 𝒂+5𝒃 parallel? Are 𝒂+𝒃 and βˆ’π’‚+𝒃 parallel? Are 𝒂+𝒃 and βˆ’π’‚βˆ’π’ƒ parallel? @fortyninecubed

3 𝒂+𝒃 πŸπ’‚+πŸπ’ƒ πŸ‘π’‚+πŸ‘π’ƒ πŸ‘π’‚βˆ’πŸ‘π’ƒ βˆ’πŸ‘π’‚βˆ’πŸ‘π’ƒ πŸ“π’‚+πŸ“π’ƒ πŸ“π’‚+πŸπŸŽπ’ƒ βˆ’πŸ”π’‚βˆ’πŸ‘π’ƒ βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ πŸπŸŽπ’ƒ+πŸ“π’‚
Vector 1 Vector 2 Parallel or not parallel? 𝒂+𝒃 πŸπ’‚+πŸπ’ƒ πŸ‘π’‚+πŸ‘π’ƒ πŸ‘π’‚βˆ’πŸ‘π’ƒ βˆ’πŸ‘π’‚βˆ’πŸ‘π’ƒ πŸ“π’‚+πŸ“π’ƒ πŸ“π’‚+πŸπŸŽπ’ƒ βˆ’πŸ”π’‚βˆ’πŸ‘π’ƒ βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ πŸπŸŽπ’ƒ+πŸ“π’‚ 𝒃+ 𝟏 𝟐 𝒂 @fortyninecubed

4 Parallel or not parallel?
Vector 1 Vector 2 Parallel or not parallel? 𝒃+ 𝟏 𝟐 𝒂 βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ+πŸπ’‚ βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ+πŸπ’‚+πŸ’π’ƒ βˆ’ πŸ‘ πŸ’ π’‚βˆ’ πŸ‘ 𝟐 𝒃+ 𝟏 𝟐 𝒂+𝒃 𝟏 πŸ“ 𝒃+ 𝟏 𝟏𝟎 𝒂 πŸ‘ πŸ’ 𝒂+ πŸ‘ 𝟐 π’ƒβˆ’ 𝟏 𝟐 π’‚βˆ’π’ƒ 𝟏 πŸ’ (πŸ‘π’‚+πŸ”π’ƒ)βˆ’ 𝟏 𝟐 (𝒂+πŸπ’ƒ) 𝟏 πŸ’ πŸ‘π’‚+πŸ”π’ƒ + 𝟏 𝟐 (𝒂+πŸπ’ƒ) βˆ’( 𝟏 πŸ“ 𝒃+ 𝟏 𝟏𝟎 𝒂) βˆ’( 𝟏 πŸ“ π’ƒβˆ’ 𝟏 𝟏𝟎 𝒂) @fortyninecubed

5 𝒂+𝒃 πŸπ’‚+πŸπ’ƒ YES 𝒂+𝒃 and 𝟐(𝒂+𝒃) πŸ‘π’‚+πŸ‘π’ƒ 𝒂+𝒃 and πŸ‘(𝒂+𝒃) πŸ‘π’‚βˆ’πŸ‘π’ƒ NO βˆ’πŸ‘π’‚βˆ’πŸ‘π’ƒ
Vector 1 Vector 2 Parallel or not parallel? 𝒂+𝒃 πŸπ’‚+πŸπ’ƒ YES 𝒂+𝒃 and 𝟐(𝒂+𝒃) πŸ‘π’‚+πŸ‘π’ƒ 𝒂+𝒃 and πŸ‘(𝒂+𝒃) πŸ‘π’‚βˆ’πŸ‘π’ƒ NO βˆ’πŸ‘π’‚βˆ’πŸ‘π’ƒ 𝒂+𝒃 and βˆ’πŸ‘(𝒂+𝒃) πŸ“π’‚+πŸ“π’ƒ πŸ“ 𝒂+𝒃 and βˆ’πŸ‘(𝒂+𝒃) πŸ“π’‚+πŸπŸŽπ’ƒ βˆ’πŸ”π’‚βˆ’πŸ‘π’ƒ βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ πŸ“ 𝒂+πŸπ’ƒ andβˆ’πŸ‘(𝒂+πŸπ’ƒ) πŸπŸŽπ’ƒ+πŸ“π’‚ πŸ“ 𝒂+πŸπ’ƒ and βˆ’πŸ‘(𝒂+πŸπ’ƒ) 𝒃+ 𝟏 𝟐 𝒂 𝟏 𝟐 𝒂+πŸπ’ƒ and βˆ’πŸ‘(𝒂+πŸπ’ƒ) @fortyninecubed

6 Parallel or not parallel?
Vector 1 Vector 2 Parallel or not parallel? 𝒃+ 𝟏 𝟐 𝒂 βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ+πŸπ’‚ NO βˆ’πŸ‘π’‚βˆ’πŸ”π’ƒ+πŸπ’‚+πŸ’π’ƒ YES 𝟏 𝟐 𝒂+πŸπ’ƒ andβˆ’(𝒂+πŸπ’ƒ) βˆ’ πŸ‘ πŸ’ π’‚βˆ’ πŸ‘ 𝟐 𝒃+ 𝟏 𝟐 𝒂+𝒃 𝟏 𝟐 𝒂+πŸπ’ƒ and βˆ’ 𝟏 πŸ’ (𝒂+πŸπ’ƒ) 𝟏 πŸ“ 𝒃+ 𝟏 𝟏𝟎 𝒂 𝟏 𝟏𝟎 𝒂+πŸπ’ƒ and βˆ’ 𝟏 πŸ’ (𝒂+πŸπ’ƒ) πŸ‘ πŸ’ 𝒂+ πŸ‘ 𝟐 π’ƒβˆ’ 𝟏 𝟐 π’‚βˆ’π’ƒ 𝟏 𝟏𝟎 𝒂+πŸπ’ƒ andβˆ’ 𝟏 πŸ’ (𝒂+πŸπ’ƒ) 𝟏 πŸ’ (πŸ‘π’‚+πŸ”π’ƒ)βˆ’ 𝟏 𝟐 (𝒂+πŸπ’ƒ) 𝟏 𝟏𝟎 𝒂+πŸπ’ƒ and βˆ’ 𝟏 πŸ’ (𝒂+πŸπ’ƒ) 𝟏 πŸ’ πŸ‘π’‚+πŸ”π’ƒ + 𝟏 𝟐 (𝒂+πŸπ’ƒ) 𝟏 𝟏𝟎 𝒂+πŸπ’ƒ and πŸ“ πŸ’ (𝒂+πŸπ’ƒ) βˆ’( 𝟏 πŸ“ 𝒃+ 𝟏 𝟏𝟎 𝒂) βˆ’ 𝟏 𝟏𝟎 𝒂+πŸπ’ƒ and πŸ“ πŸ’ (𝒂+πŸπ’ƒ) βˆ’( 𝟏 πŸ“ π’ƒβˆ’ 𝟏 𝟏𝟎 𝒂) @fortyninecubed


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