Question

answer the question step by step explanation ​

Answer 1

Answer:pleas give me brainleast

Explanation:

a - b = -3i +2j -4k

then c - b was found.

c - b = -i + 2j + k

Then (a - b)X (a - b ) =10i + 7j - 4k

In the book , the magnitude of this cross product was stated as the area ofthe parallelogram formed in Fig 1.Halving the magnitude gave the area of the triangle. Final answer : 6.4 sq unit

But I cannot understand why was the cross product of (a - b) and (c - b ) found .

My solution is as under :

Fig 2 shows my opinion.

The area of the parallelogram in fig 1 is the same as the area of the parallelogram formed between vectors a and c as in fig 2.

This is shown in Fig 3.

a X c = -5i -8j - 4k

Then the magnitude of cross product of a and c should give the area of the parallelogram.

But I know my solution is incorrect.

I cannot understand why is it incorrect.

Please provide me the explanation.

THANK YOU VERY MUCH.