AP EAMCET · Maths · Vector Algebra
If \(\hat{\mathbf{i}}-3 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\lambda \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\) are coplanar, then \(\lambda\) is equal to :
- A -1
- B \(1 / 2\)
- C \(-3 / 2\)
- D 2
Answer & Solution
Correct Answer
(C) \(-3 / 2\)
Step-by-step Solution
Detailed explanation
Since \(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}, 3 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(\lambda \hat{\mathbf{i}}+3 \hat{\mathbf{j}}\) are coplanar, then \(\left|\begin{array}{ccc}1 & -2 & 0 \\ 0 & 3 & 1 \\ \lambda & 3 & 0\end{array}\right|=0\)…
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