Answer:
r = i + j + (-2/3)(3i - j)
Step-by-step explanation:
Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant
if a = i + j ; b = t(3i - j) and r = -i +s(j)
for this to be true all the vector components must be equal
summing i 's
i + 3ti = -i; then t = -2/3
j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3
so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j
Here is your answer. Good luck!
Answer:
Step-by-step explanation:
The volume of a sphere = 4πr^3/3<span>
The volume of a half of sphere = 2</span>πr^3/3 = 2 π (27)/3 = 18π<span>
</span>The volume of a cone= π r^2 h/3 = π (9)(8)/ 3 = 24 π
Total volume = 18 π + 24π = 42π = 42 x 3.14 = 131.9 cm^3
