Problem 1. Consider the two vectors Ā = {3î + 1ĵ + 5k}lb and B = {7î + 1ĵ + 7k}lb a. Calculate the angle between Á and B. b. Calculate the angle that B makes with the x-axis. Calculate the projection of A onto the z-axis.

Q: 3. Determine the value of a and b if the vectors à = [a, 26, 32] and b = [49,-91,b] are collinear.

A: Given,            Two vectors are a→=a,26,32 and b→=49,-91,b are collinear.To find : Determine the…

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: Find the vector v with the magnitude.15/2 and direction of u = For the toolbar, press ALT+F10 (PC)…

A:

Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

A:

Q: Find 9a + 76, la, and la -6. (Simplify your vectors completely.) a=9i8j+7k, b =77-9k

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…