Question: In a Cartesian reference system two vectors are defined as (mathbf{a}=2 c hat{mathbf{i}}-hat{mathbf{j}}+4 hat{mathbf{k}}) and (mathbf{b}=4 hat{mathbf{i}}+) ((c-1) hat{mathbf{j}}+5 hat{mathbf{k}}). For which values of (c)

In a Cartesian reference system two vectors are defined as $\mathbf{a}=2 c \hat{\mathbf{i}}-\hat{\mathbf{j}}+4 \hat{\mathbf{k}}$ and $\mathbf{b}=4 \hat{\mathbf{i}}+$ $(c-1) \hat{\mathbf{j}}+5 \hat{\mathbf{k}}$. For which values of $c$ are the two vectors orthogonal?

Step by Step Solution

★★★★★

3.41 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mechanics Questions!

Describe, and estimate the costs of, procedures to (a) insert a new item into an existing heap; (b) delete the topmost item from a non-empty heap; (c) starting from an array holding N items in...

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

2. Consider the planar motion of a body attached reference point A defined in the global Cartesian reference system by the following time functions for its coordinates: XGA (t) = (7 + 12 t) in YGA...

A body of mass $m$ gravitationally attracted to a much larger body of mass $M$ describes an elliptical trajectory if the total mechanical energy $E_{T}$ is strictly negative, while it has a...

Describe how the position (X, Y, Z) and orientation (Yaw, Pitch, Roll) of a moving Cartesian frame is measured relative to a fixed Cartesian coordinate reference system. Graphically illustrate your...

please help me with this java programming past paper 3. Object Oriented Programming (a) With reference to Object Oriented programming, what is meant by the terms Encap- 13] (b) The Polar Coordinate...

A charge of q_(1)=7.00\\\\mu C is at the origin of a cartesian coordinate system. A charge q_(2)=-7.00\\\\mu C is then placed at 0.400m on the positive y -axis. Last, a charge of q_(3)=-5.00\\\\mu C...

A point-like particle is moving along a straight line. Alice and Bob are two observers and they respectively measure the motion of the particle in two reference frames called "xAy" and "XBY" with the...

An electron of mass me is trapped in a two-dimensional infinite square potential well. The potential inside the well is zero, and the widths of the well are L and 2L along the x-axis and y-axis,...

The Journal of Economic Psychology (Sept. 2008) published a study on high-stakes insurance decisions. In part A of the experiment, 84 subjects were informed of the hazards (both fire and theft) of...

To compete with Best Buys Geek Squad (GeekSquad.com), Circuit City recently began a similar service named firedog (firedog.com). Firedog offers in-home, in-store, and online services for computer...

What is the percentage return from CIA if current and 6 0 day forward price of Canadian dollar in Beijing are 5 . 2 9 1 4 - 0 1 5 and 5 . 6 3 9 2 - 4 2 7 yuan, respectively, while interest rates in...

What are the advantages and disadvantages of groups? LO.1

A small spherical ball of mass $m$ and radius $R$ is dropped from rest into a liquid of high viscosity $\eta$, such as honey, tar, or molasses. The only appreciable forces on it are gravity \(m...

An object of mass $m$ is subject to a drag force $F=-k v^{n}$, where $v$ is its velocity in the medium, and $k$ and $n$ are constants. If the object begins with velocity $v_{0}$ at time...

A long chain is tied tightly between two trees and a horizontal force $F_{0}$ is applied at right angles to the chain at its midpoint. The chain comes to equilibrium so that each half of the chain...

Help Save & Exit Sub Check my wo QE 8-7 Statement of Net Position The following information is available for the preparation of the government-wide financial statements for the City of Southern...

High - low method for a service company used by Sierra Railroad is "gross - ton miles," which is the total number of tons multiplied by the miles moved. Open spreadsheet Determine the variable cost...

Net income was $468,000. Issued common stock for $74,000 cash. Paid cash dividend of $13,000. Paid $130,000 cash to settle a long-term notes payable at its $130,000 maturity value. Paid $116,000 cash...