pls assist me o o.find the modulus and argument of 3+4i and express in polar form.?

Question

No 2.) show the complex number Z=5L-150 degrees on ARGAND DIAGRAM and find Z in algebriac form.NO 3.Find the VOLUME of a parallelpiped with edges are given by these vectors:
A=2i-3j+4k
B=i+2j-k
C=3i-j+2k. I figure it out and got -7cmcube, since the volume can be either negative or positive. am i right? pls to maths genius.

Answer 1

Find the volume of a parallelpiped with edges are given by these vectors:
A = 2i-3j+4k
B = i+2j-k
C = 3i-j+2k

Volume = | A • (B X C) |

B X C = <1, 2, -1> X <3, -1, 2> = <3, -5, -7>

| A • (B X C) | = | <2, -3, 4> • <3, -5, -7>
| A • (B X C) | = | 2*3 + (-3)*(-5) + 4*(-7) | = | 6 + 15 - 28 |
| A • (B X C) | = | -7 | = 7

Answer 2

for no3. the ans IS 7

Answer 3

I will not do your homework for you but at beginning, try drawing actual picture in 3-D it will clear up many thigns for you.