Find the scalar and vector product of two vectors a =3i-4j+5k and b=-2i+j-3k
Answers
We have been given two vectors:
To find the scalar product of two vectors we will use:
Where, i, j, and k are the components of unit vectors along 'x', 'y', and 'z'.
so the scalar product is given by:
So the scalar product of vectors a and b is .
Vector product of the vectors 'a' and 'b' is given by:
Substituting the values of each component we get:
The vector product of 'a' and 'b' is represented by :
Answer:
Step-by-step explanation:
We have been given two vectors:
a⋅b=(3
i
^
−4
j
^
+5
k
^
)⋅(−2
i
^
+
j
^
−3
k
^
)
=−6−4−15
=−25
a×b=
∣
∣
∣
∣
∣
∣
∣
∣
i
^
3
−2
j
^
−4
1
k
^
5
−3
∣
∣
∣
∣
∣
∣
∣
∣
=7
i
^
−
j
^
−5
k
^
Note b×a=−7
i
^
+
j
^
+5
k
^
To find the scalar product of two vectors we will use:
Where, i, j, and k are the components of unit vectors along 'x', 'y', and 'z'.
so the scalar product is given by:
So the scalar product of vectors a and b is .
Vector product of the vectors 'a' and 'b' is given by:
Substituting the values of each component we get:
The vector product of 'a' and 'b' is represented by :