JEE Advance - Mathematics (1990 - No. 6)
Let $$\overrightarrow A = 2\overrightarrow i + \overrightarrow k ,\,\overrightarrow B = \overrightarrow i + \overrightarrow j + \overrightarrow k ,$$ and $$\overrightarrow C = 4\overrightarrow i - 3\overrightarrow j + 7\overrightarrow k .$$ Determine a vector $$\overrightarrow R .$$ Satisfying $$\overrightarrow R \times \overrightarrow B = \overrightarrow C \times \overrightarrow B $$ and $$\overrightarrow R \,.\,\overrightarrow A = 0$$
- \widehat i - 8\widehat j + 2\widehat k
2\widehat i + \widehat j + \widehat k
4\widehat i - 3\widehat j + 7\widehat k
\widehat i + 8\widehat j - 2\widehat k
-\widehat i + 8\widehat j + 2\widehat k