If à . î = a.(i+j) = a. (i+j+k),
then the value of a
is
Answers
Answer:
Step-by-step explanation:
(
a
×
i
^
)
2
=(
a
×
i
^
).(
a
×
i
^
)
=
∣
∣
∣
∣
∣
∣
a
.
a
i
^
.
a
a
.
i
^
1
∣
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
a
∣
∣
∣
∣
2
−(
a
.
i
^
)
2
=∑(
a
×
i
^
)
2
=3
∣
∣
∣
∣
a
∣
∣
∣
∣
2
−∑(
a
.
i
^
)
2
=3
∣
∣
∣
∣
a
∣
∣
∣
∣
2
−
∣
∣
∣
∣
a
∣
∣
∣
∣
2
=2
∣
∣
∣
∣
a
∣
∣
∣
∣
2
,
Since
a
.
i
^
=a
1
, a.
j
^
=a
2
and a.
k
^
=a
3
Note:
If
a
=a
1
i
^
+a
2
j
^
+a
3
k
^
then
2
∣
∣
∣
∣
a
∣
∣
∣
∣
2
=2(a
1
i
^
+a
2
j
^
+a
3
k
^
).(a
1
i
^
+a
2
j
^
+a
3
k
^
)=2(a
1
2
+a
2
2
+a
3
2
)
Step-by-step explanation:
Biology is the study of life. The word "biology" is derived from the Greek words "bios" (meaning life) and "logos" (meaning "study"). In general, biologists study the structure, function, growth, origin, evolution and distribution of living organisms.