if C is the vector sum of A and B C=A+B what must be true about directions and magnitude of A and B if C=A+B? what must be true about the directions and magnitude of A and B if C=0​

a) Magnitudes: , , ; Directions: for . Undefined for , for . Undefined for , for . Undefined for .

b) Magnitudes: , , ; Directions: , is undefined.

a) Let suppose that , and , where is known as Vector Zero. By definitions of Dot Product and Inverse Trigonometric Functions we derive expression for the magnitude and directions of , and :

Magnitude ()

Magnitude ()

Magnitude ()

Direction ()

for . Undefined for .

Direction ()

for . Undefined for .

Direction ()

for . Undefined for .

Please notice that is the Vector Unit.

b) Let suppose that and and . Hence, . In other words, we find that both vectors are antiparallel to each other, that is, that angle between and is 180°. From a) we understand that , , but .

Then, we have the following conclusions:

Magnitude ()

Magnitude ()

Magnitude ()

Directions (, ):

Direction ():

Undefined

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation:

where is the circuit diagram ?