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Express the vector in the Cartesian Form, if the angle made by it with y and z axis is 60˚ and 45˚ respectively. Also, it makes an angle of α with the x-axis. The magnitude of the force is 200N.

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Express the vector in the Cartesian Form, if the angle made by it with y and z axis is 60˚ and 45˚ respectively. Also, it makes an angle of α with the x-axis. The magnitude of the force is 200N.

(a) 100i + 100j + 141.4k N

(b) 100i – 100j + 141.4k N

(c) 100i + 100j – 141.4k N

(d) 100i – 100j – 141.4k N

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

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The correct choice is (a) 100i + 100j + 141.4k N

Explanation: When you will resolve the vector in its x, y and z-axis components, you will get an equation containing cosα. After getting the correctly, you need to directly put that value in the previous equation of components.

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