Math 2433 Notes – Week 1 Session 1 121 Cartesian Space Coordinates Ex Give the equation of a plane that is parallel to the xzplane that passes through the point (2, 1, 4)The unit vector is =〈1/sqrt2,0,1/sqrt2〉 You have to do a cross product to find a vector perdendicular to veca and vecb The cross product is given by the determinant (hati,hatj,hatk), (1,13,1), (1,6,1) =hati(136)hatj(11)hatk(613) =〈7,0,7〉 Verification by doing the dot products 〈7,0,7〉〈1,6,1〉=77=0 〈7,0,7〉〈1,13,1〉=77=0 The unit vector is obtained bySee the answer If a = i − 7k and b = j k, find a × b Expert Answer 100% (3 ratings) Previous question Next question Get more help from Chegg Solve it with our calculus problem solver and calculator If A I J 7k And B 5i J Ak And So A B And A B Find A ̂⃗̂ ⃗ (8)leta⃗= 5î− ĵ+7kand b=î− ĵ+λk. findλsuchthata⃗+bis ⃗ orthogonal to a⃗ − b