Chapter 1: Vectors, Lines and Planes
Section 1.3: Dot Product
If A=3 i+2 j+5 k and B=−4 i+5 j+λ k, find all values of λ that make B orthogonal to A.
For B to be orthogonal to A, the following must hold.
A·B=325·−45λ=−12+10+5 λ = 5 λ−2=0
Enter the vectors A and B
Enter A as per Table 1.1.1.a
Context Panel: Assign Name
Enter B as per Table 1.1.1.
Form and solve the equation A·B=0
Common Symbols palette: Dot-product operator
Press the Enter key.
Context Panel: Solve≻Solve
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