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Maths-

General

Easy

Question

If the position vector of one end of the line segment AB be $2 i plus 3 j minus k$ and the position vector of its middle point be $3 left parenthesis i plus j plus k right parenthesis comma$ then the position vector of the other end is

$4 i + 3 j + 5 k$
$4 i - 3 j + 7 k$
$4 i + 3 j + 7 k$
$4 i + 3 j - 7 k$

The correct answer is: $4 i plus 3 j plus 7 k$

$Error converting from MathML to accessible text.$ $Error converting from MathML to accessible text.$ $Error converting from MathML to accessible text.$
we have $Error converting from MathML to accessible text.$

$Error converting from MathML to accessible text.$
$Error converting from MathML to accessible text.$
Trick : By inspection, middle point of $4 i plus 3 j plus 7 k$ and $2 i plus 3 j minus k$ is $Error converting from MathML to accessible text.$

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If a and b are the position vectors of A and B respectively, then the position vector of a point C on AB produced such that $Error converting from MathML to accessible text.$ is

If a and b are the position vectors of A and B respectively, then the position vector of a point C on AB produced such that $Error converting from MathML to accessible text.$ is

What should be added in vector $a equals 3 i plus 4 j minus 2 k$ to get its resultant a unit vector i

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