Acube is 4.4 cm on a side, with one corner at the origin. part 1 (a) what is the unit vector pointing from the origin to the diagonally opposite corner at location < 4.4, 4.4, 4.4 > cm? (express your answer in vector form.) r^= < , , > by accessing this question assistance, you will learn while you earn points based on the point potential policy set by your instructor. attempts: 0 of 10 used save for later submit answer part 2 (b) what is the angle in degrees from this diagonal to one of the adjacent edges of the cube? °

(a)

(b)

Solution:

As per the question:

Side of the cube, a = 4.4 cm

Coordinates of the diagonally opposite corner, A = <4.4, 4.4, 4.4> cm

Now,

(a) To calculate the unit vector:

(b) To calculate the angle between the two vectors say A and A' is given by:

       (1)

Now,

The coordinates of the diagonally opposite corner, A' is <0, 0, 1> cm

Thus

Now,

Using equation (1) :

Thus

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explanation: