Transcription of Vectors Summary - a-levelmaths.com
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Vectors Summary - a-levelmaths.com
Vectors Summary 1. Scalar product (dot product): cos||||baba= Laws of dot product: (i) abba = (ii) acabcabacba + = + =+ )( (iii) 2||aaa= (angle between two identical Vectors is 0 degrees) (iv)aba = 0 and b are perpendicular Applications: (i) Projection vector: Length of projection L= | ADAB| B Projection vector AC = ( ADAB) AD Foot of perpendicular = OC =OA+AC Shortest distance from B to line A C D =2||BC=22||LAB [OR = | ADAB| ]
1 1 1 1 d c b a r = • , 2 2 2 2 d c b a r = • 3 3 3 3 d c b a r = 3 3 3 3 2 2 2 2 1 a b c d a b c d a b c d After reducing the augmented matrix to its row reduced equivalent using the RREF function of the graphic calculator, 3 possible scenarios arise:
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