Question

If A = 4i + 5j and B = 2i + j, calculate A + B and + B and A+ (A) 61 + 61, 672 (B) 21–4), 4.2 (C) 21, 3 (D) 4j, 6​

Answer 1

Answer:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

$\vec{A} = 4 \hat{i} + 5 \hat{j} \: \: \: and \: \: \: \vec{B} = 2 \hat{i} + \hat{j}$

Calculate

$\vec{A} + \vec{B}$

$(A) \: \: \: 6\hat{i} + 6\hat{j}$

$(B) \: \: \: 2\hat{i} - 4\hat{j}$

$(C) \: \: \: 2\hat{i} + 3\hat{j}$

$(D) \: \: \: 4\hat{j} + 6\hat{i}$

EVALUATION

Here it is given that

$\vec{A} = 4 \hat{i} + 5 \hat{j} \: \: \: and \: \: \: \vec{B} = 2 \hat{i} + \hat{j}$

Thus we get

$\vec{A} + \vec{B}$

$= (4 \hat{i} + 5 \hat{j}) + (2 \hat{i} + \hat{j})$

$= (4 \hat{i} + 2 \hat{i}) + (5 \hat{j} + \hat{j})$

$= 6 \hat{i} + 6 \hat{j}$

FINAL ANSWER

Hence the correct option is

$(A) \: \: \: 6\hat{i} + 6\hat{j}$

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