How do you add vectors? Add the vector <3,4> to the vector that goes 7 units at an angle of 2π/3.

The sum of the two vectors is the vector <-0.5 , 4+3.5 >

Step-by-step explanation:

The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф

The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф

The vector is <b cos Ф , b sin Ф>

∵ The vector goes 7 units at an angle

- That means its magnitude is 7 and its direction is  

∴ x = 7 cos(   )

∴ y = 7 sin(   )

∵ cos(   ) =  

∵ sin(   ) =  

- Substitute them in x and y

∴ x = (7)( )

∴ x = -3.5

∴ y = (7)( )

∴ y = 3.5

∴ The vector is <-3.5 , 3.5>

Now lets add the vectors by adding xs and ys components

∵ <3 , 4> + <-3.5 , 3.5 > = <3 + -3.5 , 4 + 3.5 >

∴  <3 , 4> + <-3.5 , 3.5> = <-0.5 , 4+3.5 >

∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 >

it could be a ..idk tho

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)