Consider the following. u = 9i + 8j v = -8i + j + 5k Find u x v. Determine if u x v is orthogonal to both u and v by finding the values below. u (u x V) v (u x V) Oux vis orthogonal to both u and v. u x v is not orthogonal to both u and v. = =

Q: Find the cross product a × b. a = j + 9k,    b = 4i − j + 2k       Verify that it is orthogonal…

A:

Q: Determine whether u 17. (Notation means perpendicular; i.e., u v means u and u are orthogonal.) (a)…

A: If the vector two vectors are orthogonal then their dot product is zero.The given vectors are:Now…

Q: MNPQ is a parrallelogram and R is the intersection point of the diagonals MP and NQ. Let vector U =…

A: Step 1:parallelogram law -MP=MQ+QP=u+vand NQ=MQ+MN=u+v Step 2:…

Q: Determine whether u and v are orthogonal, parallel, or neither. и%3 (0, 1,0), v %3D (1,—2,0)…

A:

Q: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

A:

Q: Find the cross product a x b. a = j + 6k, b = 3i - j + 5k Verify that it is orthogonal to both a and…

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

A:

Q: Find the component form of v, where u = 2i − j and w = i + 2j. v = u + 2w

A:

Q: Find projwv. v=3i - 3j; w = 2i + j

A:

Q: Given u = - i+j, v = 10i-4j, and w= -8j, find proju (v + w).

A:

Q: Let a = 4i + 3j – k, b = 2i – j + xk and c = yi + zj – 2k. Find: %3D %3D a x such that a and b are…

A: Two vectors are said to be perpendicular to each other if their dot product is zero. We will use…

Q: u = i - 2j v = -7i +j u. v =

A:

Q: Use the dot product to determine whether v = 2i + 8j and w = 4i - j are orthogonal.

A: Given: v=2i+8jw=4i-j