Question

If v1=3 icap+4Jcap+kcap and v2 =icap-jcap-kcap, determine the magnitude of v1+v2

Answer 1

Answer:

Two vectors are given:-

V1=3i+4j+k , V2=i-j-k

Adding both vectors i.e V1+V2

V1+V2=3i+4j+k + (i-j-k)

=3i+4j+k+i-j-k

=4i+3j

Magnitud of vector V1+V2=_/(4)^2+(3)^2

=_/16+9

=_/25=5

Here is your answer , magnitude is 5..

Answer 2

Answer:

$v_1+v_2=5$

Explanation:

Given that,

Vector 1, $v_1=3i+4j+k$

Vector 2, $v_2=i-j-k$

Sum of these two vectors is :

$v_1+v_2=v'=4i+3j$

The magnitude of the sum of vectors is given by :

$|v_1+v_2|=\sqrt{4^2+3^2}$

$|v_1+v_2|=5$

So, the magnitude of above vector is 5. Hence, this is the required solution