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Byju's Answer
Standard XII
Mathematics
Cross Product of Two Vectors
Given that P=...
Question
Given that P=Q=R. If P vector +Q vector =R vector then the angle between P vector and R vector is A. If (P +Q +R) vector =0vector then the angle between P vector and R vector is A 2. Then fin the relation between A1and A1?
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Q.
If
p
,
q
,
r
are three mutually perpendicular vectors of the same magnitude and if a vector
x
satisfies the equation
p
×
(
(
x
−
q
)
×
p
)
+
q
×
(
(
x
−
r
)
×
q
)
+
r
×
(
(
x
−
p
)
×
r
)
=
0
,
then vector the
x
is
Q.
Three vectors
→
P
,
→
Q
and
→
R
are such that
|
→
P
|
=
|
→
Q
|
,
|
→
R
|
=
√
2
|
→
P
|
and
→
P
+
→
Q
+
→
R
=
0
. The angle between
→
P
and
→
Q
,
→
Q
and
→
R
, and
→
P
and
→
R
are
Q.
Three vectors
→
P
,
→
Q
and
→
R
are such that
|
→
P
|
=
|
→
Q
|
,
|
→
R
|
=
√
2
|
→
P
|
, and
→
P
+
→
Q
+
→
R
=
→
0
. The angles between
→
P
and
→
Q
,
→
Q
and
→
R
, and
→
P
and
→
R
are
Q.
Three vectors
→
P
,
→
Q
and
→
R
are shown in the figure. Let S be any point on the vector
→
R
. The distance between the points P and S is
b
|
→
R
|
. The general relation among vectors
→
P
,
→
Q
and
→
S
is
Q.
If vectors P. Q and R have magnitude 5, 12 and 13 units
→
P
+
→
Q
=
→
R
, the angle between Q and R is
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