`vec(r ) =(lambda-1) hat(i) + (lambda+1) hat(j) -(lambda+1) hat(k)`
vec(r ) =(1-mu) hat(i) + (2mu -1) hat(j) + (mu +2) hat(k).`
Given \(\vec A\) = \(\hat i+2\hat j-\hat k\) \(\vec B\) = \(-\hat i-2\hat j+\hat k\) Angle b/w \(\vec A\) and \(\vec B\) cos θ = \(\frac{\vec A.\vec B}{|\vec A|.|\vec B|}\) \(=\frac{(\hat i+2\hat j-\hat k).(-\hat i-2\hat j+\hat k)}{\sqrt{1^2+(2)^2+(1)^2}\sqrt{(-1)^2+(-2)^2+(1)^2}}\) cos θ = \(\frac{-1-4-1}{\sqrt6\times\sqrt6}\) cos θ = -6/6 cos θ = -1 θ = 180° option...
2 Answers 2 viewsCorrect Answer - (i) 9 (ii) 8 (iii) -7
2 Answers 1 viewsCorrect Answer - (i) `lambda=5/2` (ii) `lambda=3` (iii) `lambda=-2` (iv) `lambda =-2`
2 Answers 1 viewsCorrect Answer - `lambda = pm 5`
2 Answers 1 viewsCorrect Answer - (i)`lambda=-4` (ii) `lambda=-3` (iii) `lambda=1`
2 Answers 1 viewsCorrect Answer - 0, the given vectors are coplanar
2 Answers 1 viewsCorrect Answer - `(3sqrt(2))/(2)` units
2 Answers 2 viewsCorrect Answer - `vec(d)=7(hat(i)-hat(j)-hat(k))`
2 Answers 1 viewsCorrect answer is (a) We know that propagation wave vector ∵ \(\vec{E} = \hat{k}\) \(\vec{B} = 2\hat{i} - 2\hat{j}\) \(\vec{C} = \vec{E} \times \vec{B}\) \(\vec{C} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ 0 & 0 & 1...
2 Answers 1 viewsGiven 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...
2 Answers 1 views