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Vectors — Easy JEE math MCQ

If $\vec{a} = 2\hat{i} + 3\hat{j}$ and $\vec{b} = \hat{i} - \hat{j}$, then $\vec{a} \cdot \vec{b}$ is:
  1. A. $-1$
  2. B. $1$
  3. C. $5$
  4. D. $-5$

Solution

$\vec{a} \cdot \vec{b} = (2)(1) + (3)(-1) = 2 - 3 = -1$.

MATH

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If a⃗=2i^+3j^\vec{a} = 2\hat{i} + 3\hat{j} and b⃗=i^−j^\vec{b} = \hat{i} - \hat{j}, then a⃗⋅b⃗\vec{a} \cdot \vec{b} is:
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Vectors — Easy JEE Mathematics MCQ | MyGoalPrep