Math 1229 Midterm 1 Question and
answers 100% correct 2026/2027
Finding a unit vector with the same direction as the given vector - correct answer ✔(1/ || vector u || )
x vector u
Finding a unit vector with the opposite direction as the given vector - correct answer ✔-(1/ || vector u
|| ) x vector u
Find the distance between two vectors d(u,v) - correct answer ✔Square root of (v1-u1)^2 + (v2-u2)^2
Length of a vector - correct answer ✔Squareroot (x)^2 + (y)^2
Finding vector equivalent between two points - correct answer ✔q - p
2 parallel lines - correct answer ✔Are equivalent with a scalar multiple
Dot product - correct answer ✔((x1)(y1) + (x2)(y2))
Cross product - correct answer ✔Write both vectors twice and remove the first and last column, then
upproduct - downproduct
Cos of two vectors - correct answer ✔dot product of vector u and v / || u || ||v||
Finding a vector orthogonal to two given vectors - correct answer ✔Cross product
answers 100% correct 2026/2027
Finding a unit vector with the same direction as the given vector - correct answer ✔(1/ || vector u || )
x vector u
Finding a unit vector with the opposite direction as the given vector - correct answer ✔-(1/ || vector u
|| ) x vector u
Find the distance between two vectors d(u,v) - correct answer ✔Square root of (v1-u1)^2 + (v2-u2)^2
Length of a vector - correct answer ✔Squareroot (x)^2 + (y)^2
Finding vector equivalent between two points - correct answer ✔q - p
2 parallel lines - correct answer ✔Are equivalent with a scalar multiple
Dot product - correct answer ✔((x1)(y1) + (x2)(y2))
Cross product - correct answer ✔Write both vectors twice and remove the first and last column, then
upproduct - downproduct
Cos of two vectors - correct answer ✔dot product of vector u and v / || u || ||v||
Finding a vector orthogonal to two given vectors - correct answer ✔Cross product
