# Chapter 3 - Motion in Two Dimensions - Learning Path Questions and Exercises - Exercises - Page 98: 35

a). magnitude of $F_{1}+F_{2}$ is possible. This is possible when the two vectors are on the same line, and direction, the angle between them is zero. b). magnitude of $F_{1}-F_{2}$ is possible. This is possible when the two vectors are on the same line, but opposite direction, the angle between them is $180^{\circ}$. c). magnitude of $\sqrt (F_{1}^{2} +F_{2}^{2})$ is possible. This is possible, when the two vectors are perpendicular to each other. The angle between them is $90^{\circ}$.

#### Work Step by Step

a). magnitude of $F_{1}+F_{2}$ is possible. This is possible when the two vectors are on the same line, and direction, the angle between them is zero. b). magnitude of $F_{1}-F_{2}$ is possible. This is possible when the two vectors are on the same line, but opposite direction, the angle between them is $180^{\circ}$. c). magnitude of $\sqrt (F_{1}^{2} +F_{2}^{2})$ is possible. This is possible, when the two vectors are perpendicular to each other. The angle between them is $90^{\circ}$.

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