Solve both or will dislike answer 1- The gradient of the constant temperature field T is 1. The constant temperature field means that everywhere has the same temperature. a) True b) False 2- Three vectors have the relationship A.(B×C) = 0, then we can say that B must be perpendicular to A C must be perpendicular to A B must be perpendicular to C Both (a) and (b). None of above

Q: If a vector (a) If AB, find a and B. (b) If ALB, find a and B. Ã=3ā¸+6ā„+ā₂and B = αã¸−2ケ ßā¸‚

A:

Q: True or false? If v is a direction vector for a line L, then −v is alsoa direction vector for L.

A: True or false. If v is a direction vector for a line L, then -v is also a direction vector for L.

Q: 4. Find the vector v that is orthogonal tou=i+j+k and whose r-component and z-component are 2 and…

A:

Q: Let T:R→ R² be a linear operator whose matrix representation relative to the standard basis of R 2…

A:

Q: (a) Suppose A=(S,+S) and B (S-S), Show that S = A + B A= A and B =-B (b) Suppose that A B, is a…

A:

Q: Week 12: Part 1: This exercise will ask you to explore the equality Null(A") = (Col(A))-. Pick a…

A: Explanation-  For the given question, we will consider the standard unit vectors in ℝ4 Let us assume…

Q: Let b be a vector in R" satisfying the following equation. 4 3 =Db 7. Then m- and b

A:

Q: 1. DETAILS POOLELINALG4 6.2.012. MYΝΟΤES ASK YOUR TEACHER Test the set of functions for linear…

A:

Q: e vector equation ū=

A:

Q: 3. Let 7 be a non-zero column vector in R" and 7 be a non-zero column vector in R". What is…

A:

Q: d the maturity value for each loan at simple interest: A loan of $11,280 for 85 days a

A: Introduction: Maturity value is the amount due and payable to the holder of a financial obligation…

Q: True or False and explain 1- For any two non parallel and non orthogonal vectors a and b with angle…

A: Here in the given two parts we have to find whether the statements are true or false.

Q: If f(x, y) = 2x² + 5y² and u is the unit vector in the direction of T which of the following…

A: Given f(x,y)=2x2+5y2 u⇀ is the the unit vector in the direction of π6. So,  u⇀=cosπ6,sinπ6=32,12

Q: The temperature at a point (x, y, z) is given by where T' is in degrees Celsius and x, y and z are…

A:

Q: q 22. 16 determine the magnitude and direction of the vector v = and also show that  v = |v|u ,…

A:

Q: Suppose z is implicitly given by the equation x³y-yz²+ -5 x In a neighborhood of the point P(1, 1),…

A:

Q: 4* Find the components of the net force and the direction of the net force acting on a body (assumed…

A: To find the components of the net force and the direction of the net force acting on a body assumed…

Q: C. Given a vector f(x, y) = x²y, where x = t³-t+1, y = 2-t². Find (1.1) (1.1) i. ii.

A: Given that f(x,y)=x2y. We need to find ∂∂xf(1,1) and ∂∂yf(1,1). Observe carefully that information…

Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0)…

A:

Q: 1. If |A+ B | = |A | + B|, then angle between A and B will be (A) 90° (B) 120° (C) 0° (D) 60° C 2.…

A: Answer:-  1. Option C. 2. Option A. The dot product of two vector quantities always gives a scalar…

Q: 1. Find all solutions to the vector equation (:) --( ) --( ) -()--() 14 22 12+

A:

Q: 2. Give the components for the velocity vector of a boat that is moving 50 km/hr toward the…

A: