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The points with position vectors 
are collinear vectors, Value of a =
are collinear vectors, Value of a =- a)-20
- b)20
- c)-40
- d)40
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The points with position vectors are collinear vectors, Value of a=...
Position vector A = 60i+3j
Position vector B = 40i-8j
Position vector C = aj-52j
Now, find vector AB and BC
AB = -20i-11j
BC= (a-40)i-44j
To be collinear, angle between the vector AB and BC made by the given position vectors should be 0 or 180 degree.
That’s why the cross product of the vectors should be zero
ABXBC=(-20i-11j)X(a-40)i-44j
0i+0j+(880+11(a-40))=0
a-40= -80
a=-40
Therefore, a should be -40 to be the given positions vectors collinear.
Position vector B = 40i-8j
Position vector C = aj-52j
Now, find vector AB and BC
AB = -20i-11j
BC= (a-40)i-44j
To be collinear, angle between the vector AB and BC made by the given position vectors should be 0 or 180 degree.
That’s why the cross product of the vectors should be zero
ABXBC=(-20i-11j)X(a-40)i-44j
0i+0j+(880+11(a-40))=0
a-40= -80
a=-40
Therefore, a should be -40 to be the given positions vectors collinear.
Most Upvoted Answer
The points with position vectors are collinear vectors, Value of a=...
If the three vectors are collinear then we can find this by putting them in determinant and equal to zero then by solving the determinant we can find the value of a
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Community Answer
The points with position vectors are collinear vectors, Value of a=...
If three points are collinear then sum of two vectors is equal to third vector
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The points with position vectors are collinear vectors, Value of a=a)-20b)20c)-40d)40Correct answer is option 'C'. Can you explain this answer?
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The points with position vectors are collinear vectors, Value of a=a)-20b)20c)-40d)40Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The points with position vectors are collinear vectors, Value of a=a)-20b)20c)-40d)40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The points with position vectors are collinear vectors, Value of a=a)-20b)20c)-40d)40Correct answer is option 'C'. Can you explain this answer?.
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