Find a unit vector in the same direction as the vector A = 4i−2j+ 4k, and another unit vector in the same direction as B = −4i + 3k. Show that the vector sum of these unit vectors bisects the angle between A and B. Hint: Sketch the rhombus having the two unit vectors as adjacent sides.

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Find a unit vector in the same direction as the vector A = 4i−2j+ 4k, and another unit vector in the same direction as B = −4i + 3k. Show that the vector sum of these unit vectors bisects the angle between A and B. Hint: Sketch the rhombus having the two unit vectors as adjacent sides.

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