Question:medium
The straight line $\vec{r} = (\hat{i} + \hat{j} + \hat{k}) + \alpha(2\hat{i} - \hat{j} + 4\hat{k})$ meets the $xy$-plane at the point:
The straight line $\vec{r} = (\hat{i} + \hat{j} + \hat{k}) + \alpha(2\hat{i} - \hat{j} + 4\hat{k})$ meets the $xy$-plane at the point:
Show Hint
To find intersection with coordinate planes:
• \( xy \)-plane: set \( z = 0 \)
• \( yz \)-plane: set \( x = 0 \)
• \( zx \)-plane: set \( y = 0 \)
• \( xy \)-plane: set \( z = 0 \)
• \( yz \)-plane: set \( x = 0 \)
• \( zx \)-plane: set \( y = 0 \)
Updated On: May 2, 2026
- $(2, -1, 0)$
- $(3, 4, 0)$
- $(\frac{1}{2}, \frac{3}{4}, 0)$
- $(\frac{1}{2}, \frac{7}{4}, 0)$
- $(\frac{1}{2}, \frac{5}{4}, 0)$
Show Solution
The Correct Option is D
Solution and Explanation
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