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CBSE Class 12 Math 2020 Delhi Set 1 Solved Paper

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Question : 5 of 36
Marks: +1, -0
If i^,j^,k^\hat{i}, \hat{j}, \hat{k} are unit vectors along three mutually perpendicular directions, then
Solution:     👈: Video Solution
Given, i^,j^,K^\hat{i}, \hat{j}, \hat{K} are vectors and mutually perpendicular to each other
Here i^i^j^=j^⋅k^=k^⋅i^=0\hat{i} \hat{i} \hat{j} = \hat{j} \cdot \hat{k} = \hat{k} \cdot \hat{i} = 0
and
i^×j^=k^\hat{i} \times \hat{j} = \hat{k}
j^×k^=i^\hat{j} \times \hat{k} = \hat{i}
k^×i^=j^\hat{k} \times \hat{i} = \hat{j}
∴\therefore Only option [C][C] î. K^=0\hat{K} = 0 is the correct answer
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