(i) Find the projection of `vec(a)` on `vec(b)` if `vec(a).vec(b)=8` and `vec(b)=(2hat(i)+6hat(j)+3hat(k))`. (ii) Write the projection of the vector `(hat(i)+at(j))` on the vector `(hat(i)-hat(j))`.
Answered Feb 05, 2023
Correct Answer - (i) `8/7` (ii) 0
Correct Answer - (i) `(5 sqrt(6))/3` (ii) `(10 sqrt(17))/17`
Correct Answer - 0, the given vectors are coplanar
Correct Answer - `cos^(-1) .((8sqrt(3))/(15))`
Correct Answer - `sqrt(62)` units
Correct Answer - `(3sqrt(19))/(19)` units
Correct Answer - `(14sqrt(241))/(241)` units
Correct Answer - `sqrt(38)` units
Correct Answer - `(2,6,3)`
Correct Answer - `(2hat(i)-51hat(j)- 30 hat(k))`
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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