LIVE Course for free

Rated by 1 million+ students
Get app now
Class 8 Foundation Course
Class 9 Foundation Course
Class 10 Foundation Course
Class 11 Foundation Course
Class 12 Foundation Course
0 votes
in Algebra by (54.3k points)
closed by
Find the value of \(\rm \hat{i} \times \hat{i} = \hat j \times \hat j = \hat k \times \hat k\)

1 Answer

0 votes
by (30.0k points)
selected by
Best answer
Correct Answer - Option 1 : 0


Dot product of two vectors is defined as:

\({\rm{\vec A}}{\rm{.\vec B = }}\left| {\rm{A}} \right|{\rm{ \times }}\left| {\rm{B}} \right|{\rm{ \times cos}}\;{\rm{\theta }}\)

Cross/Vector product of two vectors is defined as:

\({\rm{\vec A \times \vec B = }}\left| {\rm{A}} \right|{\rm{ \times }}\left| {\rm{B}} \right|{\rm{ \times sin}}\;{\rm{\theta }} \times \rm \hat{n}\)

where θ is the angle between \({\rm{\vec A}}\;{\rm{and}}\;{\rm{\vec B}}\)


To Find: Value of \(\rm \hat{i} \times \hat{i}\)

Here angle between them is 0°

\({\rm{\hat i \times \hat i = }}\left| {\rm{i}} \right|{\rm{ \times }}\left| {\rm{i}} \right|{\rm{ \times sin}}\;{\rm{0 }} \times \rm \hat{n}=0\)

Similarly \(\rm \hat j \times \hat j = \hat k \times \hat k = 0\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.