Questions tagged 'Vectors'
19 questions
A 100 N force acts along the x axis and a 150 N force acts at an angle of 40 degrees above the x axis.?
A 100 N force acts along the x-axis, while a 150 N force acts at an angle of 40 degrees above the x-axis. a) What is the resultant force vector? b) What is the magnitude of the resultant force? c) Wh...
A floating ice block is pushed through a displacement?
A floating ice block is pushed through a displacement vector ( \mathbf{d} = (24 \, \text{m}) \mathbf{i} - (12 \, \text{m}) \mathbf{j} ) along a straight embankment by rushing water. The water exerts a...
Find a nonzero vector parallel to the line of intersection of the two planes -(3x+3y+z) = -1 and 3x+2y+3z = 2.?
I am looking to find a nonzero vector that is parallel to the line of intersection between the two planes represented by the equations -(3x + 3y + z) = -1 and 3x + 2y + 3z = 2. Could someone assist me...
A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be…?
A vector with a magnitude of 20 is added to a vector with a magnitude of 25. What could be the magnitude of the resulting vector? (a) 12 (b) 50 (c) 3 (d) 47 (e) 0 Could someone please solve this an...
I need to prove that (a – b) x (a + b) = 2(a x b), where a and b are both vectors. I can’t figure out a proof.?
I need to prove that ((a - b) \times (a + b) = 2(a \times b)), where (a) and (b) are both vectors. I'm struggling to find a proof for this equation. Can anyone help me understand how to approach this?
can a vector have a component greater than the vectors magnitude?
Can a vector have a component that is greater than the vector's magnitude? Specifically, I would like to understand if it is possible for any of the components of a vector to exceed the overall magnit...
Math help! Please help?
What is the projection of the point (2, 6) onto the vector (-1, 5)? Please choose the correct answer from the following options: a) 0.70 (2, 6) b) 0.70 (-1, 5) c) 1.80 (-1, 5) d) 1.08 (2, 6)
URGENT: Determine if the pairs of vectors below are “parallel”, “orthogonal”, or “neither”.?
Title: "How to Determine If These Vector Pairs Are Parallel, Orthogonal, or Neither?" Body: "Given the following pairs of vectors: a = [Provide the components of vector a] b = [Provide the component...
An object is moving at 18 m/s at an angle of 220 ∘ counterclockwise from the x axis. What is the objects acceleration in vector unit i^+j^?
An object is moving at a speed of 18 m/s at an angle of 220 degrees counterclockwise from the x-axis. What is the object's acceleration expressed in vector form using the unit vectors î and ĵ?