Question

Find the area of the triangle by two vectors a=3i+4j, b=-3i+7j

Answer 1

Answer:The area of the triangle is calculated with the cross product ot the 2 vectors.

Let the  

ˆ

k

component be  

=

0

Area is

A

=

1

2

⋅

∣

∣

∣

∣

∣

⎛

⎜

⎝

ˆ

i

ˆ

j

ˆ

k

3

4

0

−

3

7

0

⎞

⎟

⎠

∣

∣

∣

∣

∣

=

1

2

(

ˆ

i

(

4

⋅

0

−

7

⋅

0

)

−

ˆ

j

(

3

⋅

0

+

3

⋅

0

)

+

ˆ

k

(

3

⋅

7

+

3

⋅

4

)

)

=

1

2

⋅

<

0

,

0

,

33

>

The area is  

=

33 /2

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Answer 2

Answer:

The area of triangle determined by the two vectors A = 3i+4j & B=-3i+7j is a) 16.5 sq.

Explanation:

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