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KEAM 2010 Math Paper
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© examsnet.com
Question : 5
Total: 120
If
|
→
a
|
=
5
,
|
→
b
|
=
6
and
→
a
⋅
→
b
=
−
25
,
then
|
a
×
→
b
|
is equal to
25
6
√
11
11
√
5
11
√
6
5
√
11
Validate
Solution:
Given,
|
→
a
|
=
5
,
|
→
b
|
=
6
,
→
a
⋅
→
b
=
−
25
∴
cos
θ
=
→
a
⋅
→
b
|
→
a
|
⋅
|
→
b
|
=
−
25
5
×
6
=
−
25
30
=
−
5
6
∴
sin
θ
=
√
1
−
cos
2
θ
=
√
1
−
25
36
=
√
11
36
∴
|
→
a
×
→
b
|
=
|
→
a
|
|
→
b
|
sin
θ
=
5
×
6
×
√
11
36
=
5
√
11
© examsnet.com
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