If `vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b)=(hat(i)-3hat(j)-5hat(k)) and vec(c)=(3hat(i)-4hat(j)-hat(k))`, find `[vec(a)vec(b)vec(c)]` and interpret the result.
Answered Feb 05, 2023
Correct Answer - 0, the given vectors are coplanar
Correct Answer - (i) 9 (ii) 8 (iii) -7
Correct Answer - `cos^(-1) .((8sqrt(3))/(15))`
Correct Answer - `cos^(-1).((sqrt(30))/(15))`
Correct Answer - `(10)/(sqrt(59))` units
Correct Answer - `sqrt(62)` units
Correct Answer - `(3sqrt(19))/(19)` units
Correct Answer - `(3sqrt(2))/(2)` units
Correct Answer - `(14sqrt(241))/(241)` units
Correct Answer - `(2,6,3)`
Given that \(\vec a, \vec b\) and \(\vec c\)are unit vectors. i.e., |\(\vec a\)| = |\(\vec b\)| = |\(\vec c\)| = 1 And \(\vec a\) + \(\vec b\) + \(\vec c\) = \(\vec 0\) Then \((\vec a+\vec b+\vec c).(\vec a+\vec b+\vec c)=\vec 0.\vec...
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