Vectors: Shortest Distance AS Maths with Liz Core 4.

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Presentation transcript:

Vectors: Shortest Distance AS Maths with Liz Core 4

Aims By the end of the lesson you should be able to…  Find the shortest distance from a point to a line  Find the coordinates where a perpendicular meets a given line

Shortest Distance

Example 1 Find the coordinates of the foot of the perpendicular from point P (1, 0, 4) to the line with equation

Example 2 Find the shortest distance from point A (4, 7) to the line with equation

You try! Find the coordinates of the foot of the perpendicular from point A (10, 9, 11) to the line with equation

You try! Find the shortest distance between the origin and the line

Independent Study  Core 4 Textbook: Pg. 133, Ex. I DUE 25 TH MARCH Optional Practise  Core 4 Textbook: Pg. 136, Mixed Questions  Core 4 Textbook: Pg.180, Test yourself  mymaths – Angles between lines Reminders!  Core 3 Past paper – DUE FRIDAY  Core 4 Past paper – DUE FRIDAY  Test over Binomials & Parametrics – FRIDAY  SET HW over Binomials & Parametrics DUE FRIDAY