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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
If vectori+j+...
Question
If vector
(
ˆ
i
+
ˆ
j
+
ˆ
k
)
and
3
ˆ
i
form two sides of a triangle and the magnitude of area of triangle is
x
√
y
, then x+y is
(x and y are prime numbers).
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Solution
Area of triangle=
1
2
→
A
×
→
B
=
1
2
(
ˆ
i
+
ˆ
j
+
ˆ
k
)
×
3
ˆ
i
=
1
2
(
−
3
ˆ
k
+
3
ˆ
j
)
=
3
√
2
2
Given, area=
x
√
y
so,
3
√
2
2
=
x
√
y
on solving further
x
+
y
=
5
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0
Similar questions
Q.
If vector
(
ˆ
i
+
ˆ
j
+
ˆ
k
)
and
3
ˆ
i
form two sides of a triangle and the magnitude of area of triangle is
x
√
y
, then x+y is
(x and y are prime numbers).