this question is a vector question.
In scalar product it is written"a.b cos(theta)" and in cross product it is written"a x b sin(theta)".
My question is ,in scalar product why "cos(theta)" is used? why not "sin(theta)" is used?
Also,in cross product why "sin(theta)" is used?why not "cos(theta)" is used?
Tell me reasons.
2006-12-14 06:19:11 · 3 answers · asked by star123 2 in Science & Mathematics ➔ Mathematics
"Dot" Product differs from "Cross" Product.
Thm: If theta is the angle between nonzero vectors a & b, then
a (dot) b = |a| |b| cos (theta)
"Dot" product relates to the angle between vectors, a & b.
The "cross" product is a vector, (a x b), which is orthogonal to both vectors, a & b.
2006-12-14 06:46:57 · answer #1 · answered by S. B. 6 · 0⤊ 0⤋
This is the definition.
If I define something as xxxYYYzzz - then it is fixed. This is a defined item.
It is like naming your dog as Buddy
Your friend shall not ask you: why is it named Buddy, why not Bill, why not Greg?
2006-12-14 14:33:14 · answer #2 · answered by sm bn 6 · 0⤊ 0⤋
what math are you in im in algerbra
2006-12-14 14:28:29 · answer #3 · answered by Anonymous · 0⤊ 0⤋