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Multiplication Of Vectors And Scalar Quantity - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Multiplication of a Vector by a Scalar is considered one of the most asked concept.
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14 Questions around this concept.
Solve by difficulty
if then a value of
Let PQR be a triangle with $R(-1,4,2)$. Suppose $M(2,1,2)$ is the mid point of PQ. The distance of the centroid of $\triangle \mathrm{PQR}$ from the point of intersection of the lines $\frac{\mathrm{x}-2}{0}=\frac{\mathrm{y}}{2}=\frac{\mathrm{z}+3}{-1}$ and $\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}+3}{-3}=\frac{\mathrm{z}+1}{1}$ is
Concepts Covered - 1
Multiplication of a Vector by a Scalar
If a is a vector and "λ" is a scalar (i.e. a real number), then λa is a vector whose magnitude is |λ| times that of a and whose direction is the same (or opposite) that of a according as the value of λ is positive (or negative).
Note that λa is collinear to the vector a.
If
Properties of multiplication of a vector by a scalar
a and b are vectors, λ and γ are scalars.
A geometric visualisation of multiplication of a vector by a scalar
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