A cube is 3 cm on a side, with one corner at the origin. What is the unit vector pointing from the origin to the diagonally opposite corner at location <3,3,3> cm? what is the angle from this disagonal to one of the adjacent edges of the cubes?

0.955 rad or 54.7 degrees

Explanation:

The vector (let's call it's A) pointing from the origin to the diagonally opposite corner would have its value of:

but unit vector only has a length of 1, so we need to divide this vector by length of itself to it has the same direction but magnitude of 1

So the unit vector in the direction of vector A is

Let another unit vector b <0,0,1> lies in the adjacent edges of the cubes. This unit vector also has a length of 1. So |b| = 1.The dot product between a and b yields

where Θ is the angle between vector a and b

therefore

or 54.7 degrees

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i have found an answer to your question but use it as information.

information: because weak acids/bases have low concentration of hydrogen ions, the addition of water has a large impact on the ph. 2. a difference in 1 unit is a 10x difference in concentration for example; a liquid with ph of 3 is 10x more acidic than a liquid with a ph of 4. therefore, a liquid with a ph of 3 is stronger.

best of luck!

no sign of dia of fuel cell