If hat{i}, hat{j}, hat{k} are unit vectors,th | vedclass

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(B) By definition,the dot product of a unit vector with itself is given by $\hat{a} \cdot \hat{a} = |\hat{a}| |\hat{a}| \cos(0^\circ) = (1)(1)(1) = 1$

Vedclass · Accepted Answer

$\hat{i} \cdot \hat{i} = 1$

Vedclass · Answer

(B) By definition,the dot product of a unit vector with itself is given by $\hat{a} \cdot \hat{a} = |\hat{a}| |\hat{a}| \cos(0^\circ) = (1)(1)(1) = 1$. Since $\hat{i}$ is a unit vector,$\hat{i} \cdot \hat{i} = 1$. Option $(a)$ is incorrect because $\hat{i} \cdot \hat{j} = 0$ as they are orthogonal. Option $(c)$ is incorrect because the cross product of two vectors results in a vector,not a scalar. Option $(d)$ is incorrect because $\hat{i} 	imes (\hat{j} 	imes \hat{k}) = \hat{i} 	imes \hat{i} = \vec{0}$.

If $\hat{i}, \hat{j}, \hat{k}$ are unit vectors,then which of the following is true?

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