any length between 1.5 and 8.5 meters depending on the angle between the vectors.
find the dot product of the two vectors to find the magnitude.
e.g. two vectors
a x
b . y
c z
gives a.x+b.y+c.z= your final answer. The dots mean times by (btw)
35 m2
5m/s
Centi is a factor of one hundredth; therefore 35 cm is .35m. Add 5m and .35 m is 5.35m.
-7m - 3m + 5m = -5m
5m = 40m = 40/5m = 8
If a direction is given, it is a vector. Otherwise it is a scalar.
The magnitude of the weight of the man is 980N.
35 m2
2 m
10m
5m/s
30
anser
5m/s
Centi is a factor of one hundredth; therefore 35 cm is .35m. Add 5m and .35 m is 5.35m.
30
No it doesn't. A unit vector indicates direction only. The length of the orthogonal components are RELATIVE to the absolute length of the vector, thus cannot have a unit. For instance, let X'=X/x where X is a vector, x is a scalar and X' is a unit vector. X has length and direction and x has length only, thus X' has direction only. Here's an example. C = A + B where A=3m*A' and B=4m*B' (where A and B are orthogonal) cC' = aA' + bB' C' = (a/c)A' + (b/c)B' = xA' + yB' c = sqrt(3m^2+4m^2) = 5m (by pythagorous) x = (3m/5m) = (3/5) (notice that the units cancel out!) y = (4m/5m) = (4/5) (notice that the units cancel out!)