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The coordinate of the Force vector AB is A (2, 0, 2) and B (-2, 3.46, 3). It has a magnitude of 750N. Which is the best Cartesian representation of the vector AB?

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The coordinate of the Force vector AB is A (2, 0, 2) and B (-2, 3.46, 3). It has a magnitude of 750N. Which is the best Cartesian representation of the vector AB?

(a) -557i + 482j + 139k N

(b) -557i – 482j + 139k N

(c) -557i + 482j – 139k N

(d) 557i – 482j – 139k N

This question was posed to me in exam.

My enquiry is from Cartesian Vectors topic in division Force Vectors of Engineering Mechanics

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Right answer is (a) -557i + 482j + 139k N

The best explanation: First try to make the unit vector of AB. Then you will get the Cartesian form of unit vector, after that just multiply 750 scalar quantity with it. Which means you are first taking out the desired direction and then multiplying the scalar to get the desired vector in the desired direction.

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