internal vector product

Train to …… learn Mathematics Internal vector product, Key Stage 4,5 Stella Seremetaki Mathematician

Internal vector product, Key Stage 4,5Ypothesisb  2 a  2 5,v  2a  bangle (a ,b )  1200Symperasmav ?,angle(a ,v)? angle(v,b )Proofa .b  a . b .cos 1200a .b  10 (1 / 2)   5 2  v2  (2a  b )2  (2a )2  4a .b 2v b 2 52  4.5  4 52  20v 4v  20  v  2 5a .v  a . v .cos(a ,v )  5.2 5.cos(a ,v ) a .v  10 cos(a ,v )a .v  a (2a  b )  2a 2  a .bcos(a ,v )  (1 / 2)  angle (a ,v )  600 2v.b  (2a  b ).b  2a .b  b v.b  10  4 52  10  20  10

cos(v,b )  10  2 10 5  10 1 v .b 5. 10(v,b )  450