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Question 1204d
Vectors I: Basics, Dot and Cross Products
Geometric Interpretations I
Question
Generate new
The points
A
{A}
A
and
B
{B}
B
have position vectors
a
{\mathbf{a}}
a
and
b
{\mathbf{b}}
b
respectively.
What is the geometric meaning of the expression
1
2
∣
a
×
b
∣
?
{\sqrt{1}{2} \Big| \mathbf{a} \times \mathbf{b} \Big|?}
1
2
a
×
b
?
Attempt
Select the correct option:
The length of projection of
a
{\mathbf{a}}
a
onto
b
.
{\mathbf{b}.}
b
.
The length of projection of
b
{\mathbf{b}}
b
onto
a
.
{\mathbf{a}.}
a
.
The perpendicular distance from the point
A
{A}
A
to the line
O
B
.
{OB.}
OB
.
The perpendicular distance from the point
B
{B}
B
to the line
O
A
.
{OA.}
O
A
.
The area of the triangle
O
A
B
.
{OAB.}
O
A
B
.
The area of the parallelogram formed by
O
A
{OA}
O
A
and
O
B
.
{OB.}
OB
.
Answer
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