Question:medium
If $2\hat{i} - \hat{j} + \hat{k} = s(3\hat{i} - 4\hat{j} - 4\hat{k}) + t(\hat{i} - 3\hat{j} - 5\hat{k})$, where $s$ and $t$ are scalars, then $3s + 5t$ is equal to:
If $2\hat{i} - \hat{j} + \hat{k} = s(3\hat{i} - 4\hat{j} - 4\hat{k}) + t(\hat{i} - 3\hat{j} - 5\hat{k})$, where $s$ and $t$ are scalars, then $3s + 5t$ is equal to:
Show Hint
Solve vector equations by equating coefficients of $\hat{i}, \hat{j}, \hat{k}$.
Updated On: Apr 24, 2026
- $2$
- $-4$
- $-2$
- $6$
- $14$
Show Solution
The Correct Option is C
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