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A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is?
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A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is...
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A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is...
Perpendicular Vector to Given Vectors
- To find a vector perpendicular to both the vector 2i^ - j^ + 5k^ and x-axis, we can use the cross product of the given vector and a unit vector along the x-axis.
Cross Product Calculation
- Let the given vector be A = 2i^ - j^ + 5k^ and the unit vector along the x-axis be B = i^.
- The cross product of A and B is given by A x B = (det(i^, j^, k^), det(2, -1, 5), det(1, 0, 0)).
- Calculating the determinant, we get A x B = (0i^ - 5j^ - 1k^).
Perpendicular Vector
- Therefore, the vector perpendicular to both the given vector and the x-axis is -5j^ - k^.
- This vector is perpendicular to the given vector as well as the x-axis, satisfying the conditions.
- To find a vector perpendicular to both the vector 2i^ - j^ + 5k^ and x-axis, we can use the cross product of the given vector and a unit vector along the x-axis.
Cross Product Calculation
- Let the given vector be A = 2i^ - j^ + 5k^ and the unit vector along the x-axis be B = i^.
- The cross product of A and B is given by A x B = (det(i^, j^, k^), det(2, -1, 5), det(1, 0, 0)).
- Calculating the determinant, we get A x B = (0i^ - 5j^ - 1k^).
Perpendicular Vector
- Therefore, the vector perpendicular to both the given vector and the x-axis is -5j^ - k^.
- This vector is perpendicular to the given vector as well as the x-axis, satisfying the conditions.
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A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is?
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A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is?.
A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vector perpendicular to the both the vector 2i^-j^ 5k^ and x axis is?.
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