Vector Algebra

Section: Mathematics

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Question : 22 of 38

Marks: +1, -0

Let

→

x

,

→

y

and

→

z

be three vectors each of magnitude √2 and the angle between each pair of them is

π

3

.If

→

a

is a non-zero vector perpendicular to

→

x

and

→

y

×

→

z

and

→

b

is a non-zero vector perpendicular to

→

y

and

→

z

×

→

x

,then

[JEE Adv 2014 P1]

→
b
=(
→
b
.
→
z
)(
→
z
−
→
x
)
→
a
=(
→
a
.
→
y
)(
→
y
−
→
z
)
→
a
.
→
b
=−(
→
a
.
→
y
)(
→
b
.
→
z
)
→
a
=(
→
a
.
→
y
)(
→
z
−
→
y
)

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