Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 17\,\mathbf{j} + 2\,\mathbf{k} \)
Solution
To simplify the expression:
\[
7\,\mathbf{j} + 3\,\mathbf{k} + 10\,\mathbf{j} - \mathbf{k}
\]
Combine the like terms (terms with the same unit vectors):
\[
(7\,\mathbf{j} + 10\,\mathbf{j}) + (3\,\mathbf{k} - \mathbf{k}) = 17\,\mathbf{j} + 2\,\mathbf{k}
\]
**Simplified expression:**
\[
17\,\mathbf{j} + 2\,\mathbf{k}
\]
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Simplify this solution Extra Insights
To simplify the expression \( 7 \mathrm{j}+3 k+10 j-k \), we start by combining like terms. First, we combine the \( j \) terms: \[ 7 \mathrm{j} + 10 \mathrm{j} = 17 \mathrm{j} \] Next, we combine the \( k \) terms: \[ 3 k - k = 2 k \] Now, putting it all together, the simplified expression is: \[ 17 \mathrm{j} + 2 k \]
