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Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to?
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Two vectors are given by abr is equal to -2 I cap j cap minus 3 k ca...
Given:
Two vectors are given as follows:
a = -2i + 3j - 3k
b = 5i + 3j - 2k
We need to find the third vector c such that 3a + 2b - c = 0.
Solution:
To find the vector c, we can rearrange the equation 3a + 2b - c = 0 as follows:
c = 3a + 2b
Step 1: Finding 3a
To find 3a, we multiply each component of vector a by 3:
3a = 3(-2i + 3j - 3k) = -6i + 9j - 9k
Step 2: Finding 2b
To find 2b, we multiply each component of vector b by 2:
2b = 2(5i + 3j - 2k) = 10i + 6j - 4k
Step 3: Finding c
Now, we can find vector c by adding 3a and 2b:
c = -6i + 9j - 9k + 10i + 6j - 4k
= (10i - 6i) + (9j + 6j) + (-9k - 4k)
= 4i + 15j - 13k
Therefore, the vector c is given by c = 4i + 15j - 13k.
Two vectors are given as follows:
a = -2i + 3j - 3k
b = 5i + 3j - 2k
We need to find the third vector c such that 3a + 2b - c = 0.
Solution:
To find the vector c, we can rearrange the equation 3a + 2b - c = 0 as follows:
c = 3a + 2b
Step 1: Finding 3a
To find 3a, we multiply each component of vector a by 3:
3a = 3(-2i + 3j - 3k) = -6i + 9j - 9k
Step 2: Finding 2b
To find 2b, we multiply each component of vector b by 2:
2b = 2(5i + 3j - 2k) = 10i + 6j - 4k
Step 3: Finding c
Now, we can find vector c by adding 3a and 2b:
c = -6i + 9j - 9k + 10i + 6j - 4k
= (10i - 6i) + (9j + 6j) + (-9k - 4k)
= 4i + 15j - 13k
Therefore, the vector c is given by c = 4i + 15j - 13k.
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Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to?
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Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to?.
Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two vectors are given by abr is equal to -2 I cap j cap minus 3 k cap and b bar is equal to 5 ICAP 3 j cap minus 2 k cap if three a bar 2B bar - c bar is equal to zero then third vector c by is equal to?.
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