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Byju's Answer
Standard XII
Mathematics
Scalar Triple Product
Find the scal...
Question
Find the scalar and vector products of two vectors,
a
=
(
3
^
i
−
4
^
j
+
5
^
k
)
and
b
=
(
−
2
^
i
+
^
j
−
3
^
k
)
.
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Solution
a
⋅
b
=
(
3
^
i
−
4
^
j
+
5
^
k
)
⋅
(
−
2
^
i
+
^
j
−
3
^
k
)
=
−
6
−
4
−
15
=
−
25
a
×
b
=
∣
∣ ∣ ∣
∣
^
i
^
j
^
k
3
−
4
5
−
2
1
−
3
∣
∣ ∣ ∣
∣
=
7
^
i
−
^
j
−
5
^
k
Note
b
×
a
=
−
7
^
i
+
^
j
+
5
^
k
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0
Similar questions
Q.
The scalar product of the vector
→
a
=
^
i
+
^
j
+
^
k
with a unit vector along the sum of vectors
→
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and
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The scalar product of the vector
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Q.
The value of x such that the vectors
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j
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j
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^
k
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k
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Q.
The scalar product of the vector
^
i
+
^
j
+
^
k
with a unit vector along the sum of the vectors
2
^
i
+
4
^
j
−
5
^
k
and
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^
i
+
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^
j
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3
^
k
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with the unit vector parallel to the sum of the vectors
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