Calculate the unit vector (in terms of i and j) in the direction opposite to the

Question

Calculate the unit vector (in terms of i and j) in the direction opposite to the direction of each of the following vectors. A vector = 3.3i + 4.6j, B vector = (-7, 1)i + 3.4j, and C vector = 5.7i + (-8.4)j. -A = -0.583i - 0.8127j -B = -0.8725i + 0.4178j -C = +0.859i + 0.5123j The unit vector in the direction opposite to the direction of a vector is found by taking the negative of the unit vector in the direction of the vector. The unit vector in the direction of a given vector is found by dividing the given vector by its magnitude.

Explanation / Answer

A = 3.3i + 4.6j

B = -7.1i + 3.4j

C = 5.7i - 8.4j

Unit vector = B / [B]

= - (-7.1i + 3.4j) / sqrt(7.1^2 + 3.4^2)

= 0.9 i - 0.43j

Unit vector -C = - C/[C]

= - (5.7i - 8.4j) / sqrt(5.7^2 + 8.4^2)

= -0.56i + 0.827j

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