Vector is added to vector

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Vector P=3i^−4j^\mathbf{P}=3\hat{i}-4\hat{j} is added to vector Q=−3i^−2j^\mathbf{Q}=-3\hat{i}-2\hat{j}. Without calculating the full resultant, what will be the sign of the xx-component of P+Q\mathbf{P}+\mathbf{Q}? (a) Positive (b) Zero (c) Negative (d) Cannot be determined from the given data

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