Let
+
and
be a vector such that
and
. Then
is equal to _______.
Text Solution
Verified by Experts128
(128)
Given Conditions:
The condition
implies that 
This indicates that
is parallel to
.
Expressing
:
Calculate

Express
:
Since
is parallel to
, let

Using the condition
:
Compute

This simplifies to

Set
, which gives
.
Determine
using
:
Therefore,

Calculate
:
Use the determinant form for the cross product:

Calculate the determinant:
For
For
For
Thus,
.
Calculate the magnitude squared:
Find

Therefore,
.
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