( u v ) ( u v ) is equal to
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
\((\vec{u} \times \vec{v}) \cdot(\vec{u} \times \vec{v})\) is equal to
- \(\left|\begin{array}{ll} \overrightarrow{\mathrm{u}} \cdot \overrightarrow{\mathrm{u}} & \overrightarrow{\mathrm{u}} \cdot \overrightarrow{\mathrm{v}} \\ \overrightarrow{\mathrm{u}} \cdot \overrightarrow{\mathrm{v}} & \overrightarrow{\mathrm{v}} \cdot \overrightarrow{\mathrm{v}} \end{array}\right|\)
- \((\vec{u} \cdot \vec{v})^{2}-\vec{u}^{2} \cdot \vec{v}^{2}\)
- \(|\overrightarrow{\mathrm{u}}|^{2}|\overrightarrow{\mathrm{v}}|^{2}-(\overrightarrow{\mathrm{u}} \cdot \overrightarrow{\mathrm{v}})^{2}\)
- none
Answer
(A) | array ll u u & u v u v & v v array |, (C) | u |^ 2 | v |^ 2 -( u v )^ 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- P is fixed point (a, a, a) on a line through the origin equally inclined to the axes, then any plane through…
- 338. A straight line drawn from the point P (1, 3, 2), parallel to the line x-2 1 = y-4 2 = z-6 1 …
- [( a b ) ( b c )( b c ) ( c a )( c a ) ( a b )]=
- Equation of the plane containing the straight line x 2 = y 3 = z 4 and perpendicular to the plane containing…
- For a non zero vector A if the equations A B = A C and A B = A C hold simultaneously, then
- Three vectors a , b and c are such that a b = c , b c = a , c a = b . Answer the following questions : Let x…
- Let α, β, γ, δ be real numbers such that α 2 + β 2 + γ 2 ≠ 0 and α + γ =1. Suppose the point (3, 2, −1) is…
- Let a 1 x + b 1 y + c 1 z + d 1 = 0 and a 2 x + b 2 y + c 2 z + d 2 = 0 be two planes, where d 1 , d 2 > 0 …
More Three Dimensional Geometry questions · Browse all practice questions