AP EAMCET · Maths · Three Dimensional Geometry
The image of the point with position vector \((\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})\), in the plane \(\mathbf{r} \cdot(2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})+3=0\) is
- A \((3,5,2)\)
- B \((3,5,-2)\)
- C \((-3,-5,2)\)
- D \((-3,5,2)\)
Answer & Solution
Correct Answer
(D) \((-3,5,2)\)
Step-by-step Solution
Detailed explanation
Let the image of the point with position vector \((\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}})\) in the plane \(\mathbf{r} \cdot(2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})+3=0\) is \(\left(x_2, y_2, z_2\right)\), so…
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