2.4 Let u = -j +3k and v = 2i – k, find a unit vector that is orthogonal to the plane containing vectors u and v.

Q: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: Find the vector proj, u. v = 3i - j+ 3k, u = 2i + 10j + 11k %3D 0,一+店x k 19 i+ 22 15 19 19

A: Given : v = 3i - j + 3k, u = 2i + 10j + 11k   To find the vector projv u.

Q: Express the vector v =12i -5j as the sum of a vector parallel to b = 3i +4j and a vector orthogonal…

A: here we have to write the vector v in the form: v→=β1+β2Where β1 is parallel to b→ and β2 is…

Q: Find an equation for the plane that passes through the point (3, -2, 1) normal to the vector n = 2i…

A: Given:A point (3, -2, 1) normal to the vector n = 2i + j + kThe normal vector can be written as,

Q: Write an expression for a vector five units long, parallel to the plane 3x + 4y + 5z = 10 and…

A: According to the given information it is required to find a vector which parallel to a plane and…

Q: a. u=5i−2j+3k, v=4j−2k and w=−2i−4j−k. Find ||8u - 3v + w|| b. Find the unit vector that has the…

A: aGiven that the vectors u=5i-2j+3k  ,  v=4j-2k  and  w=-2i-4j-k .