Author: Study Clue

If |a|=|b|=1 and a·b=1/2, then |a−b| equals A 1 B √2 C 1/√2 D √3/2 Explanation |a−b|²=|a|²+|b|²−2a·b = 1+1−2(1/2)=1. So

If points A(2,1,0) and B(−1,3,4), vector AB is A (3,−2,−4) B (1,4,4) C (−3,2,4) D (−1,3,4) Explanation Vector AB =

For vector a = 3i−4j, magnitude |a| is A 1 B 7 C 5 D 25 Explanation Magnitude of a

In ai+bj+ck, coefficient a is A y-component B x-component C z-component D vector magnitude Explanation In component form a i

A vector has both A Magnitude and direction B Mass and weight C Length and breadth D Area and volume

A plane passes through A(1,0,2), B(2,1,0), C(0,2,1). Which equation represents that plane A x+y+z=2 B x+y+z=3 C x−y+z=3 D 2x+y+z=3

A point has coordinates (−3,4,5). What is its perpendicular distance from the yz-plane A 4 B 5 C 3 D

Which ordered triple represents the point that is 4 units on x-axis only A (0,4,0) B (0,0,4) C (4,0,0) D

In 3D space, a point is written using how many coordinates A One coordinate B Two coordinates C Four coordinates

In 3D Cartesian system, how many coordinate axes are there A One axis only B Two axes only C Three