Which of the following is the correct result if we add the given vectors?

$3^j$

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$5^i$

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$6^j$

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$5^j$

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Solution

The correct option is D
$5^j$

Graphically

Put 2nd vector's tail over the head of 1st vector.

Now draw a vector from the tail of 1st vector to the head of 2nd, This is your resultant or sum.

Also

Vector 1 is $2^j$

Vector 2 is $3^j$

Vector 1 + 2 = $(2 + 3)^j$

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Which of the following is the correct result if we add the given vectors?

The correct option is D 5^j Graphically Put 2nd vector's tail over the head of 1st vector. Now draw a vector from the tail of 1st vector to the head of 2nd, This is your resultant or sum. Also Vector 1 is 2^j Vector 2 is 3^j Vector 1 + 2 = (2+3)^j

The correct option is D
$5^j$

Graphically

Put 2nd vector's tail over the head of 1st vector.

Now draw a vector from the tail of 1st vector to the head of 2nd, This is your resultant or sum.

Also

Vector 1 is $2^j$

Vector 2 is $3^j$

Vector 1 + 2 = $(2 + 3)^j$