The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>
If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude

Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
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Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
x
= 28
( divide both sides by
)
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by y )
14
= y
( divide both sides by
)
y = 14
Hi Jessica,
<span>Remember PEMDAS (Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction).
√3 x 66.15/4.41 {Exponents/Cube & Square Roots First}
1.73 x 66.15 ÷ 4.41 {Multiplication}
114.4395 ÷ 4.41 {Division}
25.95 {Final Answer}
Cheers,
Izzy</span>
Answer:
3614 miles
Step-by-step explanation:
Given data
A plane flew for 2 hours at 467 mph
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 467*2
Distance=934 miles
5 hours at 536
Let us find the distance covered
Speed= distance/time
Distance= speed*time
Distance= 536*5
Distance=2680 miles
Total distance
=2680+934
=3614 miles
i guess is by multiplying 3by the first equation and multiply 2by the second equation