Find the sum of the vectors \vec{a}=8\hat{i}+5\hat{j} and \vec{b}=-2\hat{i}+6\hat{j}

Category: QuestionsFind the sum of the vectors \vec{a}=8\hat{i}+5\hat{j} and \vec{b}=-2\hat{i}+6\hat{j}
Editor">Editor Staff asked 11 months ago

Find the sum of the vectors
a
⃗ 
=8
i
^
+5
j
^
and
b
⃗ 
=-2
i
^
+6
j
^
 
 
(a) 6
i
^
+
j
^
 
 
(b) 6
i
^
+11
j
^
 
 
(c) 6
i
^
-11
j
^
 
 
(d)
i
^
+11
j
^
 
 
The question was asked by my school teacher while I was bunking the class.
 
The above asked question is from Addition of Vectors topic in portion Vector Algebra of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

The correct option is (b) 6
i
^
+11
j
^
 
 
Explanation: Given that,
a
⃗ 
=8
i
^
+5
j
^
and
b
⃗ 
=-2
i
^
+6
j
^
 
 
∴The sum of the vectors will be
 
a
⃗ 
+
b
⃗ 
=(8
i
^
+5
j
^
)+(-2
i
^
+6
j
^
)
 
=(8-2)
i
^
+(5+6)
j
^
 
 
=6
i
^
+11
j
^