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What is the direction of the resultant vector if two vectors having equal length is placed in the Cartesian plane at the origin as, one being parallel to and heading towards positive x-axis and the other making 165 degree with it and heading in the opposite direction of that of the first one?

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What is the direction of the resultant vector if two vectors having equal length is placed in the Cartesian plane at the origin as, one being parallel to and heading towards positive x-axis and the other making 165 degree with it and heading in the opposite direction of that of the first one?

(a) It is either in the 1st quadrant or in the 2nd quadrant

(b) It is either in the 1st quadrant or in the 3rd quadrant

(c) It is either in the 1st quadrant or in the 4th quadrant

(d) Only in the 1st quadrant

The question was asked during an interview.

My doubt is from Addition of a System of Coplanar Forces in division Force Vectors of Engineering Mechanics

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The correct choice is (c) It is either in the 1st quadrant or in the 4th quadrant

To elaborate: If one is heading towards positive X-axis and the other is in the other direction opposite to the first one, with both having the same length and having an angle between them being obtuse, means that the direction is to be in the direction of either 1st quadrant or in the 4th quadrant.

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