Question

2. The volume of a Parallelopiped whose
co-terminal edges are the vectors
ā= 2i +j - 3k,6 =i+j+ 2k and c=i-2; + 3k
is
(A) 12 cubic units
(C) 22 cubic units
(B) 32 cubic units
(D) 42 cubic units​

Answer 1

Answer:A

The volume of a Parallelopiped whose

co-terminal edges are the vectors

ā= 2i +j - 3k,6 =i+j+ 2k and c=i-2; + 3k

is

Answer 2

Answer:

(C) 22 cubic units

Step-by-step explanation:

Given that

ā= 2i +j - 3k

b =i+j+ 2k

c= i- 2j + 3k

We know that volume of  Parallelopiped given as

V=[a b c]

So volume of  Parallelopiped  can be find by finding the determinant of vector a ,b and c

V=|a b c|

V= 2(3+4)-1(3-2)-3(-2-1)

V=22 cubic units.

Volume of  Parallelopiped  is 22 cubic units.

(C) 22 cubic units