GATE ME 2007 | Vector Calculus Question 26 | Engineering Mathematics

GATE ME 2007

MCQ (Single Correct Answer)

-0.6

The area of a triangle formed by the tips of vectors $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ is

$${1 \over 2}\left( {\overrightarrow a - \overrightarrow b } \right) \bullet \left( {\overrightarrow a - \overrightarrow c } \right)$$

$${1 \over 2}\left| {\left( {\overrightarrow a - \overrightarrow b } \right) \times \left( {\overrightarrow a - \overrightarrow c } \right)} \right|$$

$${1 \over 2}\left| {\overrightarrow a \times \overrightarrow b \times \overrightarrow c } \right|$$

$${1 \over 2}\left( {\overrightarrow a \times \overrightarrow b } \right) \bullet \overrightarrow c $$

GATE ME Subjects

Browse all chapters by subject

Production Engineering

Sheet Metal Forming Processes Metal Cutting Welding Process Metal Forming Casting Advance Machine Tools Machining Metrology and Inspection

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Fluid Mechanics

Fluid Properties Fluid Statics Boundary Layer Turbulent Flow Laminar Flow Fluid Dynamics Fluid Kinematics

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

Thermodynamics

Availability Properties of Pure Substances Calculation of Work and Heat Basic Concepts and Zeroth Law Entropy and Irreversibility Second Law of Thermodynamics First Law of Thermodynamics Rankine Cycle

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Bearings Design of Brakes and Clutches Design of Spur Gears Fatigue Strength

Industrial Engineering

Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment

Strength of Materials

Springs Simple Stress and Strain Complex Stresses Pure Bending Moment of Inertia Shear Force and Bending Moment Stresses In Beams Deflection of Beams Columns and Struts Torsion Strain Energy Method Thin Cylinders

Engineering Mathematics

Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Transform Theory Numerical Methods

Theory of Machines

Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel

Turbo Machinery