AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a} \neq \mathbf{0}, \mathbf{b} \neq \mathbf{0}, \mathbf{c} \neq 0, \mathbf{a} \times \mathbf{b}=\mathbf{0}\) and \(\mathbf{b} \times \mathbf{c}=0\), then \(\mathbf{a} \times \mathbf{c}\) is equal to
- A \(b\)
- B \(a\)
- C \(0\)
- D \(\mathbf{i}+\mathbf{j}+\mathbf{k}\)
Answer & Solution
Correct Answer
(C) \(0\)
Step-by-step Solution
Detailed explanation
Given, \[ a \neq 0, b \neq 0, c \neq 0 \text { and } a \times b=0, b \times c=0 \] \(\mathbf{a} \times \mathbf{b}=\mathbf{0} \quad \Rightarrow\) Vector \(\mathbf{a}\) and \(\mathbf{b}\) are parallel. \(\Rightarrow \mathbf{a}\) and \(\mathbf{c}\) are also parallel.…
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