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If the position vectors of A and B are i+3j-k and 3i-j-3k respectively, then the position vector of mid point of AB isOptions
- a)i+2j-k
- b)2i+j-2k
- c)2i+j-k
- d)i+j-2k
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the position vectors of A and B are i+3j-k and 3i-j-3k respectively...
Explanation:
To find the midpoint of AB, we need to use the formula:
Midpoint of AB = (Position vector of A + Position vector of B)/2
Given position vectors of A and B are:
A = i + 3j - k
B = 3i - j - 3k
Step 1: Add the position vectors of A and B
A + B = (i + 3j - k) + (3i - j - 3k)
= 4i + 2j - 4k
Step 2: Divide the sum of position vectors by 2 to get the midpoint
Midpoint of AB = (A + B)/2
= (4i + 2j - 4k)/2
= 2i + j - 2k
Therefore, the position vector of the midpoint of AB is 2i + j - 2k. Hence, the correct answer is option B.
To find the midpoint of AB, we need to use the formula:
Midpoint of AB = (Position vector of A + Position vector of B)/2
Given position vectors of A and B are:
A = i + 3j - k
B = 3i - j - 3k
Step 1: Add the position vectors of A and B
A + B = (i + 3j - k) + (3i - j - 3k)
= 4i + 2j - 4k
Step 2: Divide the sum of position vectors by 2 to get the midpoint
Midpoint of AB = (A + B)/2
= (4i + 2j - 4k)/2
= 2i + j - 2k
Therefore, the position vector of the midpoint of AB is 2i + j - 2k. Hence, the correct answer is option B.
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Community Answer
If the position vectors of A and B are i+3j-k and 3i-j-3k respectively...
Just add A and B vectors and divide that by 2. You will get it
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