For this case we have the following vectors:

The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
Answer:
The product point of the vectors a and b is:
Answer:
Step-by-step explanation:
The attached photo shows the diagram of quadrilateral QRST with more illustrations.
Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)
The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT
Using sine rule,
q/SinQ = t/SinT = r/SinR
24/sin98 = QT/sin50
QT = r = sin50 × 24.24 = 18.57
Also
24/sin98 = QR/sin32
QR = t = sin32 × 24.24 = 12.84
Let us find area of triangle QRT
Area of a triangle
= 1/2 abSinC = 1/2 rtSinQ
Area of triangle QRT
= 1/2 × 18.57 × 12.84Sin98
= 118.06
Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12
Step-by-step explanation:
app it's a standard 30 60 90 triangle. there are rules for this.
x = 3
y = 6
Since this is a subtraction problem, Jeremy needed to distribute the negative to the terms in the numerator. Jeremy only distributed it to the<span> x</span>2<span>-term, and not to 15. Instead, he kept the 15 positive. When he combined like terms, he got a result of 5 for the constants. The correct result is </span>x<span> + 5.</span>
Answer:
V = 0.52 cm³
Step-by-step explanation:
radius r = 0.5 cm
volume V = 0.523333333 cm³
surface area A = 3.14 cm²
circumference C = 3.14 cm
In Terms of Pi π
volume V = 0.166666667 π cm³
surface area A = 1 π cm2
circumference C = 1 π cm
Agenda: r = radius
V = volume
A = surface area
C = circumference
π = pi = 3.1415926535898
Formulas:
Sphere Formulas in terms of radius r:
Volume of a sphere:
V = (4/3)πr³
Circumference of a sphere:
C = 2πr
Surface area of a sphere:
A = 4πr²