The triple product ( d + a ) [ a ( b ( c d ))] simplifies to
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
The triple product \((\vec{d}+\vec{a}) \cdot[\vec{a} \times(\vec{b} \times(\vec{c} \times \vec{d}))]\) simplifies to
- \((\vec{b}, \vec{d})[\vec{a} \vec{c} \vec{d}]\)
- \((\overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}})[\overrightarrow{\mathrm{a}} \overrightarrow{\mathrm{~b}} \overrightarrow{\mathrm{~d}}]\)
- \((\vec{b} \cdot \vec{a})[\vec{a} \vec{b} \vec{d}]\)
- none
Answer
(A) ( b , d )[ a c d ]
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Let P (3, 2, 6) be a point in space and Q be a point on the line r =( i - j +2 k )+ (-3 i + j +5 k ) . Then…
- A line with positive direction cosines passes through the point P (2, –1, 2) and makes equal angles with the…
- Assertion : Let a =3 i - j , b =2 i + j -3 k . If b = b _ 1 + b _ 2 such that b _ 1 is collinear with a and b…
- If a , ~b , c are such that [ array lll a & b & c array ]=1, c = a b , a ~b < 2 3 and | a |= 2 ,| ~b |= 3 , |…
- [( a b ) ( b c )( b c ) ( c a )( c a ) ( a b )]=
- Let L 1 be the line of intersection of the planes given by the equations 2 x +3 y + z = 4 and x +2 y + z = 5…
- If the lines x-1 2 = y+1 3 = z-1 4 and x-3 1 = y-k 2 = z 1 intersect, then the value of k is
- Let P 1 : 2 x + y − z = 3 and P 2 : x + 2 y + z = 2 be two planes. Then, which of the following statement(s)…
More Three Dimensional Geometry questions · Browse all practice questions