Consider two vectors $ \vec{A} $ and $ \vec{B} $ in a plane, where $ \vec{A} = 3\hat{i} + 4\hat{j} $ and $ \vec{B} = 1\hat{i} + 2\hat{j} $. If $ \vec{R} $ is their resultant vector, how woul

Question

Consider two vectors $ \vec{A} $ and $ \vec{B} $ in a plane, where $ \vec{A} = 3\hat{i} + 4\hat{j} $ and $ \vec{B} = 1\hat{i} + 2\hat{j} $. If $ \vec{R} $ is their resultant vector, how would you calculate the components $ R_x $ and $ R_y $ of $ \vec{R} $?

Accepted Answer

Add the corresponding components: $ R_x = 3 + 1 $ and $ R_y = 4 + 2 $.

Answer

Subtract the corresponding components: $ R_x = 3 - 1 $ and $ R_y = 4 - 2 $.

Answer

Multiply the corresponding components: $ R_x = 3 \times 1 $ and $ R_y = 4 \times 2 $.

Answer

Divide the corresponding components: $ R_x = 3 / 1 $ and $ R_y = 4 / 2 $.

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