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If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.?
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If a+b vector is along the angle bisector of a vector and b vector the...
Explanation:
When a b vector is along the angle bisector of a vector and b vector, the following statements are true:
- The angle between a and b vectors is equal to the angle between b and the negative of a vectors. This is because the angle bisector divides the angle between a and b vectors into two equal angles.
- If we draw a perpendicular from the tip of b vector to the line containing a vector, we get two right triangles. The angle bisector divides the base of these triangles into two equal parts, and the two triangles share the same height. Therefore, these triangles are congruent by the side-angle-side congruence theorem. This means that the magnitudes of a and b vectors are equal, i.e., |a|=|b|.
Conclusion:
Hence, the correct answer is b. |a|=|b|.
When a b vector is along the angle bisector of a vector and b vector, the following statements are true:
- The angle between a and b vectors is equal to the angle between b and the negative of a vectors. This is because the angle bisector divides the angle between a and b vectors into two equal angles.
- If we draw a perpendicular from the tip of b vector to the line containing a vector, we get two right triangles. The angle bisector divides the base of these triangles into two equal parts, and the two triangles share the same height. Therefore, these triangles are congruent by the side-angle-side congruence theorem. This means that the magnitudes of a and b vectors are equal, i.e., |a|=|b|.
Conclusion:
Hence, the correct answer is b. |a|=|b|.
Community Answer
If a+b vector is along the angle bisector of a vector and b vector the...
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If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.?
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If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.?.
If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a+b vector is along the angle bisector of a vector and b vector then-- a.》 a and b vector are perpendicular b.》 |a|=|b| answer is b plz tell how.?.
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