Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The scalar product of the vector
a
⃗
=
i
^
+
j
^
+
k
^
\vec{a} = \hat{i} + \hat{j} + \hat{k}
a
=
i
^
+
j
^
+
k
^
with a unit vector along the sum of the vectors
b
⃗
=
2
i
^
+
4
j
^
−
5
k
^
\vec{b} = 2\hat{i} + 4\hat{j} - 5\hat{k}
b
=
2
i
^
+
4
j
^
−
5
k
^
and
c
⃗
=
λ
i
^
+
2
j
^
+
3
k
^
\vec{c} = \lambda\hat{i} + 2\hat{j} + 3\hat{k}
c
=
λ
i
^
+
2
j
^
+
3
k
^
is equal to 1. a. Find the value of
λ
\lambda
λ
. b. Hence find the unit vector along
b
⃗
+
c
⃗
\vec{b} + \vec{c}
b
+
c
.
Browse the problem library