<span>For two vectors u and v, the cross product can be expressed as follows:
(u2v3 - u3v2) i + (u3v1 - u1v3) j + (u1v2 - u2v1) k.
Consequently, we have m x n: ( (2 *-4) - (-5 * -2) ) i + ( (-5*6) - (3 *-4) )j + ( ( 3*-2) - (2*6))k,
which simplifies to ( -8 - 10) i + ( -30 + 12) j + ( -6 - 12) k.
Thus, the product of vectors m and n yields -18 i - 18j -18k</span>.
Answer:
1/5
Step-by-step explanation:
Amir and Tamara each consumed 2/5 of the candy bar.
The total consumed is 2/5 + 2/5 = 4/5.
Since 4/5 of the candy bar has been eaten, 1/5 remains.
This is because 5/5 minus 4/5 equals 1/5.
(Note that 5/5 represents a whole candy bar).
The formula for the volume of a sphere can be derived as follows. We will approach this through calculus, utilizing the concept of a solid of revolution; this is a three-dimensional shape formed by rotating a two-dimensional curve around a straight line (the axis of revolution) that lies within the same plane. From calculus, we know that we will generate a shape by rotating the specified circumference. Next, we isolate y and utilize certain limits for this integral.
