1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Equal Vectors
If a=xî+2ĵ-...
Question
If
→
a
=
x
^
i
+
2
^
j
−
z
^
k
and
→
b
=
3
^
i
−
y
^
j
+
^
k
are two equal vectors, then write the value of
x
+
y
+
z
.
Open in App
Solution
Equate the vectors
→
a
=
x
^
i
+
2
^
j
−
z
^
k
and
→
b
=
3
^
i
−
y
^
j
+
^
k
by writing them in the component form that is
→
a
=
⟨
x
,
2
,
−
z
⟩
and
→
b
=
⟨
3
,
−
y
,
1
⟩
Then the equate the vectors as follows:
⟨
x
,
2
,
−
z
⟩
=
⟨
3
,
−
y
,
1
⟩
implies
x
=
3
,
y
=
−
2
,
z
=
−
1
Therefore,
x
+
y
+
z
=
3
−
2
−
1
=
0
Hence,
x
+
y
+
z
=
0
.
Suggest Corrections
0
Similar questions
Q.
Find the values of
x
,
y
and
z
so that the vectors
→
a
=
x
^
i
+
2
^
j
+
z
^
k
and
→
b
=
2
^
i
+
y
^
j
+
^
k
are equal
Q.
If
→
a
=
x
^
i
+
2
^
j
−
z
^
k
a
n
d
→
b
=
3
^
i
−
y
j
+
^
k
are two equal vectors, then write the value
of
x
+
y
+
z
Q.
If vectors
→
a
1
=
x
^
i
−
^
j
+
^
k
and
→
a
2
=
^
i
+
y
^
j
+
2
^
k
are collinear, then a possible unit vector parallel to the vector
x
^
i
+
y
^
j
+
z
^
k
is :
Q.
If the vectors
x
^
i
+
^
j
+
^
k
,
^
i
+
y
^
j
+
^
k
and
^
i
+
^
j
+
z
^
k
are co-planar where
x
≠
1
,
y
≠
1
,
z
≠
1
, then prove that
1
1
−
x
+
1
1
−
y
+
1
1
−
z
=
1
.
Q.
The vectors
¯
a
=
x
^
i
−
2
^
j
+
5
^
k
and
¯
b
=
^
i
+
y
^
j
−
z
^
k
are collinear if
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Some Fundamental Concepts
MATHEMATICS
Watch in App
Explore more
CBSE Board
Equal Vectors
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app