Specialist Mathematics ยท Unit 3 ยท Vectors in two and three dimensions ยท Algebra of vectors in three dimensions

Use scalar and vector projections of vectors. scalar projection of ๐’‚ on ๐’ƒ: |๐’‚| cos(๐œƒ) = ๐’‚ โ‹… ๐’ƒฬ‚ vector projection of ๐’‚ on ๐’ƒ: |๐’‚| cos(๐œƒ) ๐’ƒฬ‚ = (๐’‚ โ‹… ๐’ƒฬ‚)๐’ƒฬ‚ = (๐’‚โ‹…๐’ƒ ๐’ƒโ‹…๐’ƒ) ๐’ƒ

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Use multiplication by a scalar of a vector in Cartesian form.
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Use the scalar (dot) product. ๐’‚ โ‹… ๐’ƒ = |๐’‚||๐’ƒ| cos(๐œƒ) ( ๐‘Ž1 ๐‘Ž2 ๐‘Ž3) โ‹… ( ๐‘1 ๐‘2 ๐‘3) = ๐‘Ž1 ๐‘1 + ๐‘Ž2 ๐‘2 + ๐‘Ž3 ๐‘3
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