Calculus  Dot Product
posted by Shaila .
consider a rhombus ABCD
a) find the resultant of vector AB + vector AD and vector AB  vector AD? (cosine rule)
b) What will be the value of the dot product of vector AB + vector AD and vector AB  vector AD always be? (always zero)
c) Is this value of the dot product of vector AB  vector AD dot product vector AB + vector AD (commutative property)
Can someone please check if the answers in the brackets are correct!!!
Respond to this Question
Similar Questions

Physics
Use the definition of scalar product( vector A* vector B = abcos theda and the fact that vector A * vector B = axbx+ ayby+azbz to calculate the angle between the two vectorgiven by vector A= 3i + 3j + 3k and vector B= 2i + 1j + 3k. … 
Math  vectors
In the product F(vector)=q(V(vector)xB(vector), take q = 4, V(vector)= 2.0i + 4.0j + 6.0k and F(vector)= 136i 176j + 72k. What then is B(vector) in unitvector notation if Bx = By? 
Dot Product
Verify using an example that Vector a • (Vector b • Vector c) = (Vector a • Vector b) • Vector c is not true. Explain your reasoning both numerically and by using the definition of the dot product. I am very confused as to … 
jane
1. a centripetalacceleration addict rides in uniform circular motion with period T=2s and radius r=3m. at t1 his acceleration vector= 6(m/s^2)i + 4(m/s^2)j. At that instant, what are the values of vector b (dot) vector a and vector … 
PHYSICS VECTORS
1. The problem statement, all variables and given/known data Find the vector product of Vector A cross Vector B(expressed in unit vectors) of the two vectors. What is the magnitude of the vector product? 
Mathematics  Dot Product
Consider rhombus ABCD a) Find the resultants of vector AB + vector AD and vector AB  vector AD b) What will the value of (vector AB + vector AD) dot product (vector AB  vector AD) always be? 
Vector Cross & Dot Product
Given vector a=(2,1,0)and vector b=(1,0,3) and vector c=(4,1,1), calculate the following triple scalar and triple vector products. 1. c x a dot b What I did: c x a = ((1)(0)(1)(1), (1)(2)(4)(0), (1)(2)(4)(1) =(1, 2, 6) (cxa) … 
Vectors
Explain why it is not possible for Vector a • (Vector b • Vector c) to equal (Vector a • Vector b) • Vector c . (This means that the dot product is not associative.) 
Vectors
Verify using an example that Vector a + (Vector b • Vector c) is not equal to (Vector a + Vector b) • (Vector a +Vector c). (This means that addition does not distribute over the dot product.) Explain the problem that arises. 
calculus
State whether or not the following statements are true. Justify your reasoning.?