Question

two vectors are given A=3i-2j and B= -2i-4j find 3A+2B

Answer 1

Answer:

foallow this method answer will come

Answer 2

Answer:

Two vectors are given A=3i-2j and B= -2i-4j, then 3A+2B=$5i-14j$

Explanation:

A vector is a physical quantity that has both magnitude and direction. There is vector algebra to perform operations like addition, subtraction, and multiplication.

In general, a vector can be represented as $A=ai+bj+ck$

where $a,b,c$ are components of the vector and $i,j,k$ are the unit vectors along X, Y, Z axes respectively

we can multiply a vector by a scalar quantity λ as

λA= λ ($ai+bj+ck$)

     =λ $ai$$+$λ $bj+$λ $ck$

From the question, it is given that $A=3i-2j,B=-2i-4j$

so $3A=9i-6j$ and $2B=-4i-8j$

$3A+2B=(9-4)i+(-6-8)j=5i-14j$