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The angel between vector p and vector q is theta, vector r=vector p vector q=makes an angel theta by 2 with vector p. Which of the following is true?
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The angel between vector p and vector q is theta, vector r=vector p ve...
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The angel between vector p and vector q is theta, vector r=vector p ve...
Given Information:
- The angle between vector p and vector q is theta.
- Vector r is the resultant of vector p and vector q and makes an angle theta by 2 with vector p.

Analysis:
- Let's consider vector p and vector q as two sides of a triangle, with the included angle being theta.
- Vector r is the resultant of vector p and vector q, which means it is the diagonal of the parallelogram formed by vector p and vector q.
- The angle between vector p and vector r is theta by 2, which means the angle between vector r and vector q is also theta by 2.

Explanation:
- When two vectors are added using the parallelogram law of vector addition, the resultant vector is the diagonal of the parallelogram.
- In this case, the angle between vector p and vector r is theta by 2, which means the angle between vector q and vector r is also theta by 2.
- Therefore, the given information is consistent and follows the rules of vector addition and geometry.

Conclusion:
- The statement provided is true based on the principles of vector addition and geometry.
- The angles and relationships between the vectors described in the question are mathematically valid and can be verified using vector addition and geometric principles.
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The angel between vector p and vector q is theta, vector r=vector p vector q=makes an angel theta by 2 with vector p. Which of the following is true?
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