what is the magnitude of vector A = 3i + 10j+ 34k in XZ plane
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Let
A
=3
i
^
+4
j
^
and
B
=
i
^
+
j
^
The component of
A
in direction
B
=∣
A
∣cosθ where θ is the angle between
A
and
B
Thus, the magnitude of component of
A
in direction
B
=∣
p
∣=
∣
B
∣
A
.
B
=
2
3+4
=
2
7
Now, for the component along the vector (
i
^
+
j
^
)
p
=∣
p
∣⋅
p
^
=
2
7
⋅
∣
i
^
+
j
^
∣
i
^
+
j
^
=
2
7
⋅
2
i
^
+
j
^
=
2
7
(
i
^
+
j
^
)
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