Help
Contact
For teachers and institutes
Search courses, problems, tests…
A
A
>_
StemPy Lab
Courses ▾
Problems ▾
Practice ▾
Mock Tests
Classes
Community ▾
A
A
The figure shows two vectors drawn on a grid: a ends at… | StemPy Lab
Quizzes
/
The figure shows two vectors drawn on a grid: a ends at (4, 1) and b ends at (-1, 3). What is a· b?
Mathematics
Easy
High School (11–12)
Vectors and Three-Dimensional Geometry › Vector Algebra
A-Level
IB
Created by
StemPy Lab
The figure shows two vectors drawn on a grid:
a
⃗
\vec a
a
ends at
(
4
,
1
)
(4, 1)
(
4
,
1
)
and
b
⃗
\vec b
b
ends at
(
−
1
,
3
)
(-1, 3)
(
−
1
,
3
)
. What is
a
⃗
⋅
b
⃗
\vec a\cdot\vec b
a
⋅
b
?
Fig. 1: A graph on a square grid with x from -3 to 6 and y from -1 to 4. A blue arrow a runs from the origin to the point (4, 1). A green arrow b runs from the origin to the point (-1, 3).
−
7
-7
−
7
−
1
-1
−
1
1
1
1
7
7
7
Check Answer
Log in to save
Tag someone
⚑ Report
← All Quizzes
← Let a = i + 2 j - 3 k and b = 4 i + 2 k. What is a· b?
A student draws two arrows from one point of a page. One arrow is 6 cm long and the other is 4 cm long, and they open to an angle of 2π/3 radians. Treating the arrows as vectors, what is their dot product? →
More on
Vectors and Three-Dimensional Geometry › Vector Algebra
Discussion (0)
Log in
to join the discussion.
Loading…
All questions on this topic →
Problems on this topic
A parallelepiped has the edges a = i + j, b = j + k and c = i + 4 k, in metres…
Advanced
A tent is a tetrahedron with the corners P(1, 0, 0), Q(0, 2, 0), R(0, 0, 3) and S(1, 1, 1), with…
Hard
Four joints of a steel frame have the coordinates A(1, 2, 3), B(2, 4, 5), C(0, 1, 1) and D(2, 2…
Hard
A concrete block leans to one side. Its three edges from one corner are a = 3 i + j - k, b = i + 2…
Medium
All problems on this topic →