# 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
Interview Questions and Answers, Database Interview Questions and Answers for Freshers and Experience

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
^