The volume of the parallellopiped whose coterminal edges are 2 ^ i − 3 ^ j + 4 ^ k , ^ i + 2 ^ j − 2 ^ k , 3 ^ i − ^ j + ^ k is Options: A . &nbsp5 B . &nbsp6 C . &nbsp7 D . &nbsp8

Answer: Option C : C Volume =| ∣ ∣ ∣ ∣ 2 − 3 4 1 2 − 2 3 − 1 1 ∣ ∣ ∣ ∣ | = | 2 ( 2 − 2 ) + 3 ( 1 + 6 ) + 4 ( − 1 − 6 ) | = | 0 + 21 − 28 | = 7 cubic units

The volume of the parallellopiped whose coterminal edges are 2^i−3^j+4^k,

Question

The volume of the parallellopiped whose coterminal edges are

2^i - 3^j + 4^k,^i + 2^j - 2^k, 3^i -^j +^k

Options:

A . 5

B . 6

C . 7

D . 8

Answer: Option C
:
C
Volume =|

∣ ∣∣ ∣ \begin{matrix} 2 & - 3 & 4 1 & 2 & - 2 3 & - 1 & 1 \end{matrix} ∣ ∣∣ ∣ | = | 2 (2 - 2) + 3 (1 + 6) + 4 (- 1 - 6) | = | 0 + 21 - 28 | = 7

cubic units

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