Decompose v into two vectors v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v=5i+j and w= -2i-j

Q: 2. Express the vector v = 3i – 4j as the sum of a vector parallel to b = 2i +3j and a vector…

A: Given, v→=3i^-4j^ The parallel vector c→ to the vector b→=2i^+3j^ can be written as c→=λb→=2λi^+3λj^…

Q: Find two linearly independent vectors perpendicular to the vector -B]₁ V = 7

A: Two vectors u, v  is called perpendicular if u.v=0. in the given problem we have to find two…

Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.