U=5i+11j and V=2i-3j, find 2U-7U
not sure you mean that
thats the problem i have..? the answers may be: 24i+43, -4i+j, -4i+43j, or 24i+j
2U-7U
must be a TYPO
maybe 2 U - 7V ?
or 2V - 7 U ???
its 2U-7V
2 U = 10 i + 22 j
7 V = 14 i - 21 j
----------------- subtract for 2 U - 7 V
= -4 i + 1 j
but I have no idea if that is what you want. Please repair typo.
To find 2U-7V, we need to multiply each vector by its corresponding scalar, and then subtract the resulting vectors from each other.
First, let's find 2U:
Multiply the scalar 2 to each component of U.
2U = 2(5i + 11j)
= 10i + 22j
Next, let's find 7V:
Multiply the scalar 7 to each component of V.
7V = 7(2i - 3j)
= 14i - 21j
Now, let's calculate the difference 2U-7V:
(2U) - (7V) = (10i + 22j) - (14i - 21j)
When we subtract vectors, we subtract the corresponding components:
= (10i - 14i) + (22j + 21j)
= -4i + 43j
Therefore, 2U - 7V = -4i + 43j.