If a , b , c are unit vectors such that a ~b =0= a c and the angle between b and c is 3 …
Mathematics · JEE Main · NTA Exams — Vector Algebra
If \(\vec{a}, \vec{b}, \vec{c}\) are unit vectors such that \(\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{~b}}=0=\overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{c}}\) and the angle between \(\overrightarrow{\mathrm{b}}\) and \(\overrightarrow{\mathrm{c}}\) is \(\frac{\pi}{3}\). Then the value of \(|\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{b}}-\overrightarrow{\mathbf{a}} \times \overrightarrow{\mathbf{c}}|\) is
- \(\frac{1}{2}\)
- 1
- 2
- none of these
Answer
(B) 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- For non-zero vectors a , b , c ,|( a b ) c |=| a | b || c holds, if and only if
- The value of a, for which the points A, B, C with position vectors , and respectively are the vertices of a…
- Given below are two statements. STATEMENT - 1: If three points P, Q and R have position vectors a , ~b and c…
- Consider points A, B, C and D with position vectors 7 i -4 j +7 k , i -6 j +10 k , - i -3 j +4 k and i - j +…
- Let a and b be two equal vectors inclined at an angle θ, then 2.5 in 9 2 is equal to :
- Let r =( a b ) x+( b c ) y+2[ c a ] where a , b , c are three non-coplanar vectors. If r is perpendicular to…
- a =3 i -5 j and b =6 i +3 j are two vectors and c is a vector such that c =[ a b ] . Then | r |:| b |:| c |…
- Given two vectors i - j and i +2 j . The unit vector coplanar with the two vectors and perpendicular to first…
More Vector Algebra questions · Browse all practice questions