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If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R?
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If cross product of vector p and vector Q is equal to zero vector and ...
Given Information:
- Cross product of vector P and vector Q = 0
- Cross product of vector Q and vector R = 0
Finding the Cross Product of Vector P and Vector R:
To find the cross product of vector P and vector R, we can use the property of the cross product known as the triple scalar product.
The triple scalar product of vectors P, Q, and R is given by the formula:
P x (Q x R) = (P.R)Q - (P.Q)R
Given that the cross product of vector P and vector Q is zero, we have P x Q = 0. This implies that the dot product of vectors P and Q is zero (P.Q = 0).
Similarly, the cross product of vector Q and vector R is zero, implying that the dot product of vectors Q and R is zero (Q.R = 0).
Substitute these values into the triple scalar product formula:
P x (Q x R) = 0 - 0 = 0
Therefore, the cross product of vector P and vector R is a zero vector.
Community Answer
If cross product of vector p and vector Q is equal to zero vector and ...
Zero
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If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R?
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If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R?.
If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If cross product of vector p and vector Q is equal to zero vector and cross product of vector Q and vector R is equal to zero vector then find the value of the cross product of vector P and vector R?.
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