The vectors a , ~b , c are of the same length & pairwise form equal angles. If a = i + j…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
The vectors \(\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{~b}}, \overrightarrow{\mathrm{c}}\) are of the same length & pairwise form equal angles. If \(\vec{a}=\hat{i}+\hat{j}\) & \(\vec{b}=\hat{j}+\hat{k}\) then \(\stackrel{\rightharpoonup}{\mathrm{c}}\) can be
- (1, 0, 1)
- \(\left(-\frac{4}{3}, \frac{1}{3},-\frac{4}{3}\right)\)
- \(\left(\frac{1}{3},-\frac{4}{3}, \frac{1}{3}\right)\)
Answer
(A) (1, 0, 1), (D)
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